51
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Stilck França D, Markovich LA, Dobrovitski VV, Werner AH, Borregaard J. Efficient and robust estimation of many-qubit Hamiltonians. Nat Commun 2024; 15:311. [PMID: 38191453 PMCID: PMC10774346 DOI: 10.1038/s41467-023-44012-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/19/2022] [Accepted: 11/24/2023] [Indexed: 01/10/2024] Open
Abstract
Characterizing the interactions and dynamics of quantum mechanical systems is an essential task in developing quantum technologies. We propose an efficient protocol based on the estimation of the time-derivatives of few qubit observables using polynomial interpolation for characterizing the underlying Hamiltonian dynamics and Markovian noise of a multi-qubit device. For finite range dynamics, our protocol exponentially relaxes the necessary time-resolution of the measurements and quadratically reduces the overall sample complexity compared to previous approaches. Furthermore, we show that our protocol can characterize the dynamics of systems with algebraically decaying interactions. The implementation of the protocol requires only the preparation of product states and single-qubit measurements. Furthermore, we improve a shadow tomography method for quantum channels that is of independent interest and discuss the robustness of the protocol to various errors. This protocol can be used to parallelize the learning of the Hamiltonian, rendering it applicable for the characterization of both current and future quantum devices.
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Affiliation(s)
- Daniel Stilck França
- QMATH, Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100, Copenhagen, Denmark.
- Univ Lyon, ENS Lyon, UCBL, CNRS, Inria, LIP, F-69342, Lyon, Cedex 07, France.
| | - Liubov A Markovich
- QuTech and Kavli Institute of Nanoscience, Delft University of Technology, Delft, 2628 CJ, The Netherlands
- Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, Leiden, 2300 RA, The Netherlands
| | - V V Dobrovitski
- QuTech and Kavli Institute of Nanoscience, Delft University of Technology, Delft, 2628 CJ, The Netherlands
| | - Albert H Werner
- QMATH, Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100, Copenhagen, Denmark
- NBIA, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100, Copenhagen, Denmark
| | - Johannes Borregaard
- QuTech and Kavli Institute of Nanoscience, Delft University of Technology, Delft, 2628 CJ, The Netherlands
- Department of Physics, Harvard University, Cambridge, MA, 02138, USA
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52
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Feng L, Huang YY, Wu YK, Guo WX, Ma JY, Yang HX, Zhang L, Wang Y, Huang CX, Zhang C, Yao L, Qi BX, Pu YF, Zhou ZC, Duan LM. Realization of a crosstalk-avoided quantum network node using dual-type qubits of the same ion species. Nat Commun 2024; 15:204. [PMID: 38172118 PMCID: PMC10764850 DOI: 10.1038/s41467-023-44220-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2023] [Accepted: 12/05/2023] [Indexed: 01/05/2024] Open
Abstract
Generating ion-photon entanglement is a crucial step for scalable trapped-ion quantum networks. To avoid the crosstalk on memory qubits carrying quantum information, it is common to use a different ion species for ion-photon entanglement generation such that the scattered photons are far off-resonant for the memory qubits. However, such a dual-species scheme can be subject to inefficient sympathetic cooling due to the mass mismatch of the ions. Here we demonstrate a trapped-ion quantum network node in the dual-type qubit scheme where two types of qubits are encoded in the S and F hyperfine structure levels of 171Yb+ ions. We generate ion photon entanglement for the S-qubit in a typical timescale of hundreds of milliseconds, and verify its small crosstalk on a nearby F-qubit with coherence time above seconds. Our work demonstrates an enabling function of the dual-type qubit scheme for scalable quantum networks.
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Affiliation(s)
- L Feng
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
| | - Y-Y Huang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
| | - Y-K Wu
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
- Hefei National Laboratory, Hefei, 230088, PR China
| | - W-X Guo
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
- HYQ Co. Ltd., Beijing, 100176, PR China
| | - J-Y Ma
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
- HYQ Co. Ltd., Beijing, 100176, PR China
| | - H-X Yang
- HYQ Co. Ltd., Beijing, 100176, PR China
| | - L Zhang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
| | - Y Wang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
| | - C-X Huang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
| | - C Zhang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
| | - L Yao
- HYQ Co. Ltd., Beijing, 100176, PR China
| | - B-X Qi
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
| | - Y-F Pu
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
- Hefei National Laboratory, Hefei, 230088, PR China
| | - Z-C Zhou
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China
- Hefei National Laboratory, Hefei, 230088, PR China
| | - L-M Duan
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, PR China.
- Hefei National Laboratory, Hefei, 230088, PR China.
- New Cornerstone Science Laboratory, Beijing, 100084, PR China.
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53
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Gupta RS, Sundaresan N, Alexander T, Wood CJ, Merkel ST, Healy MB, Hillenbrand M, Jochym-O'Connor T, Wootton JR, Yoder TJ, Cross AW, Takita M, Brown BJ. Encoding a magic state with beyond break-even fidelity. Nature 2024; 625:259-263. [PMID: 38200302 PMCID: PMC10781628 DOI: 10.1038/s41586-023-06846-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/01/2023] [Accepted: 11/07/2023] [Indexed: 01/12/2024]
Abstract
To run large-scale algorithms on a quantum computer, error-correcting codes must be able to perform a fundamental set of operations, called logic gates, while isolating the encoded information from noise1-8. We can complete a universal set of logic gates by producing special resources called magic states9-11. It is therefore important to produce high-fidelity magic states to conduct algorithms while introducing a minimal amount of noise to the computation. Here we propose and implement a scheme to prepare a magic state on a superconducting qubit array using error correction. We find that our scheme produces better magic states than those that can be prepared using the individual qubits of the device. This demonstrates a fundamental principle of fault-tolerant quantum computing12, namely, that we can use error correction to improve the quality of logic gates with noisy qubits. Moreover, we show that the yield of magic states can be increased using adaptive circuits, in which the circuit elements are changed depending on the outcome of mid-circuit measurements. This demonstrates an essential capability needed for many error-correction subroutines. We believe that our prototype will be invaluable in the future as it can reduce the number of physical qubits needed to produce high-fidelity magic states in large-scale quantum-computing architectures.
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Affiliation(s)
- Riddhi S Gupta
- IBM Quantum, T. J. Watson Research Center, Yorktown Heights, NY, USA
- IBM Quantum, Almaden Research Center, San Jose, CA, USA
| | | | - Thomas Alexander
- IBM Quantum, T. J. Watson Research Center, Yorktown Heights, NY, USA
| | | | - Seth T Merkel
- IBM Quantum, T. J. Watson Research Center, Yorktown Heights, NY, USA
| | - Michael B Healy
- IBM Quantum, T. J. Watson Research Center, Yorktown Heights, NY, USA
| | | | - Tomas Jochym-O'Connor
- IBM Quantum, T. J. Watson Research Center, Yorktown Heights, NY, USA
- IBM Quantum, Almaden Research Center, San Jose, CA, USA
| | | | - Theodore J Yoder
- IBM Quantum, T. J. Watson Research Center, Yorktown Heights, NY, USA
| | - Andrew W Cross
- IBM Quantum, T. J. Watson Research Center, Yorktown Heights, NY, USA
| | - Maika Takita
- IBM Quantum, T. J. Watson Research Center, Yorktown Heights, NY, USA
| | - Benjamin J Brown
- IBM Quantum, T. J. Watson Research Center, Yorktown Heights, NY, USA.
- IBM Denmark, Brøndby, Denmark.
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54
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Rudolph MS, Miller J, Motlagh D, Chen J, Acharya A, Perdomo-Ortiz A. Synergistic pretraining of parametrized quantum circuits via tensor networks. Nat Commun 2023; 14:8367. [PMID: 38102108 PMCID: PMC10724286 DOI: 10.1038/s41467-023-43908-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/06/2022] [Accepted: 11/23/2023] [Indexed: 12/17/2023] Open
Abstract
Parametrized quantum circuits (PQCs) represent a promising framework for using present-day quantum hardware to solve diverse problems in materials science, quantum chemistry, and machine learning. We introduce a "synergistic" approach that addresses two prominent issues with these models: the prevalence of barren plateaus in PQC optimization landscapes, and the difficulty to outperform state-of-the-art classical algorithms. This framework first uses classical resources to compute a tensor network encoding a high-quality solution, and then converts this classical output into a PQC which can be further improved using quantum resources. We provide numerical evidence that this framework effectively mitigates barren plateaus in systems of up to 100 qubits using only moderate classical resources, with overall performance improving as more classical or quantum resources are employed. We believe our results highlight that classical simulation methods are not an obstacle to overcome in demonstrating practically useful quantum advantage, but rather can help quantum methods find their way.
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Affiliation(s)
- Manuel S Rudolph
- Zapata Computing Canada Inc., 325 Front St W, Toronto, ON, M5V 2Y1, Canada
| | - Jacob Miller
- Zapata Computing Inc., 100 Federal Street, Boston, MA, 02110, USA
| | - Danial Motlagh
- Zapata Computing Canada Inc., 325 Front St W, Toronto, ON, M5V 2Y1, Canada
| | - Jing Chen
- Zapata Computing Inc., 100 Federal Street, Boston, MA, 02110, USA
| | - Atithi Acharya
- Zapata Computing Inc., 100 Federal Street, Boston, MA, 02110, USA
- Rutgers University, 136 Frelinghuysen Rd, Piscataway, NJ, 08854, USA
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55
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Zhao H, Zhang P, Wei TC. A universal variational quantum eigensolver for non-Hermitian systems. Sci Rep 2023; 13:22313. [PMID: 38102235 PMCID: PMC10724189 DOI: 10.1038/s41598-023-49662-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2023] [Accepted: 12/11/2023] [Indexed: 12/17/2023] Open
Abstract
Many quantum algorithms are developed to evaluate eigenvalues for Hermitian matrices. However, few practical approach exists for the eigenanalysis of non-Hermintian ones, such as arising from modern power systems. The main difficulty lies in the fact that, as the eigenvector matrix of a general matrix can be non-unitary, solving a general eigenvalue problem is inherently incompatible with existing unitary-gate-based quantum methods. To fill this gap, this paper introduces a Variational Quantum Universal Eigensolver (VQUE), which is deployable on noisy intermediate scale quantum computers. Our new contributions include: (1) The first universal variational quantum algorithm capable of evaluating the eigenvalues of non-Hermitian matrices-Inspired by Schur's triangularization theory, VQUE unitarizes the eigenvalue problem to a procedure of searching unitary transformation matrices via quantum devices; (2) A Quantum Process Snapshot technique is devised to make VQUE maintain the potential quantum advantage inherited from the original variational quantum eigensolver-With additional [Formula: see text] quantum gates, this method efficiently identifies whether a unitary operator is triangular with respect to a given basis; (3) Successful deployment and validation of VQUE on a real noisy quantum computer, which demonstrates the algorithm's feasibility. We also undertake a comprehensive parametric study to validate VQUE's scalability, generality, and performance in realistic applications.
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Affiliation(s)
- Huanfeng Zhao
- Department of Electrical and Computer Engineering, Stony Brook University, Stony Brook, 11794, USA
| | - Peng Zhang
- Department of Electrical and Computer Engineering, Stony Brook University, Stony Brook, 11794, USA.
| | - Tzu-Chieh Wei
- C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, 11794, USA
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56
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Qiu X, Guo H, Chen L. Remote transport of high-dimensional orbital angular momentum states and ghost images via spatial-mode-engineered frequency conversion. Nat Commun 2023; 14:8244. [PMID: 38092751 PMCID: PMC10719309 DOI: 10.1038/s41467-023-43950-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/28/2023] [Accepted: 11/24/2023] [Indexed: 12/17/2023] Open
Abstract
The efficient transport and engineering of photonic orbital angular momentum (OAM) lie at the heart of various related classical and quantum applications. Here, by leveraging the spatial-mode-engineered frequency conversion, we realize the remote transport of high-dimensional orbital angular momentum (OAM) states between two distant parties without direct transmission of information carriers. We exploit perfect vortices for preparing high-dimensional yet maximal O AM entanglement. Based on nonlinear sum-frequency generation working with a strong coherent wave packet and a single photon, we conduct the Bell-like state measurements for high-dimensional perfect vortices. We experimentally achieve an average transport fidelity 0.879 ± 0.048 and 0.796 ± 0.066 for a complete set of 3-dimensional and 5-dimensional OAM mutually unbiased bases, respectively. Furthermore, by exploring the full transverse entanglement, we construct another strategy of quantum imaging with interaction-free light. It is expected that, with the future advances in nonlinear frequency conversion, our scheme will pave the way for realizing truly secure high-dimensional quantum teleportation in the upcoming quantum network.
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Affiliation(s)
- Xiaodong Qiu
- Department of Physics, Xiamen University, Xiamen, 361005, China
| | - Haoxu Guo
- Department of Physics, Xiamen University, Xiamen, 361005, China
| | - Lixiang Chen
- Department of Physics, Xiamen University, Xiamen, 361005, China.
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57
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Stoll EA. A thermodynamical model of non-deterministic computation in cortical neural networks. Phys Biol 2023; 21:016003. [PMID: 38078366 DOI: 10.1088/1478-3975/ad0f2d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/27/2023] [Accepted: 11/23/2023] [Indexed: 12/18/2023]
Abstract
Neuronal populations in the cerebral cortex engage in probabilistic coding, effectively encoding the state of the surrounding environment with high accuracy and extraordinary energy efficiency. A new approach models the inherently probabilistic nature of cortical neuron signaling outcomes as a thermodynamic process of non-deterministic computation. A mean field approach is used, with the trial Hamiltonian maximizing available free energy and minimizing the net quantity of entropy, compared with a reference Hamiltonian. Thermodynamic quantities are always conserved during the computation; free energy must be expended to produce information, and free energy is released during information compression, as correlations are identified between the encoding system and its surrounding environment. Due to the relationship between the Gibbs free energy equation and the Nernst equation, any increase in free energy is paired with a local decrease in membrane potential. As a result, this process of thermodynamic computation adjusts the likelihood of each neuron firing an action potential. This model shows that non-deterministic signaling outcomes can be achieved by noisy cortical neurons, through an energy-efficient computational process that involves optimally redistributing a Hamiltonian over some time evolution. Calculations demonstrate that the energy efficiency of the human brain is consistent with this model of non-deterministic computation, with net entropy production far too low to retain the assumptions of a classical system.
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Affiliation(s)
- Elizabeth A Stoll
- Western Institute for Advanced Study, Denver, Colorado, United States of America
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58
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Shen YR, Chen TH, Liang SL, Cheng XY, Lv JW, Jiang YX, Cheng L, Yu YB, Jin GR, Chen AX. The generation of genuine quadripartite Einstein-Podolsky-Rosen steering in an optical superlattice. Sci Rep 2023; 13:21196. [PMID: 38040917 PMCID: PMC10692164 DOI: 10.1038/s41598-023-48626-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/04/2022] [Accepted: 11/28/2023] [Indexed: 12/03/2023] Open
Abstract
Einstein-Podolsky-Rosen (EPR) steering is a quantum effect based on quantum entanglement and it is the key resource for building quantum networks because of its useful properties. Based on the criterion for genuine multipartite EPR steering, the genuine quadripartite EPR steering is confirmed and it can be generated by a spontaneous parametric down-conversion cascaded process with two sum-frequency generations in an optical superlattice. This occurs either below the oscillation threshold and without oscillation threshold. The influence of the parameters of cascaded nonlinear process on the quadripartite EPR steering among signal, idler, and two sum-frequency beams are also discussed. Choosing appropriate nonlinear parameters can achieve good quadripartite quantum steering. This scheme of the generation of genuine quadripartite EPR steering has potential applications in quantum communication and computing.
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Affiliation(s)
- Y R Shen
- Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China
| | - T H Chen
- Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China
| | - S L Liang
- Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China
| | - X Y Cheng
- Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China
| | - J W Lv
- Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China
| | - Y X Jiang
- Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China
| | - L Cheng
- Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China.
| | - Y B Yu
- Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China.
| | - G R Jin
- Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China
| | - A X Chen
- Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China
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59
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Rudolph T, Virmani SS. The two-qubit singlet/triplet measurement is universal for quantum computing given only maximally-mixed initial states. Nat Commun 2023; 14:7800. [PMID: 38016955 PMCID: PMC10684540 DOI: 10.1038/s41467-023-43481-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/12/2023] [Accepted: 11/10/2023] [Indexed: 11/30/2023] Open
Abstract
In order to delineate which minimalistic physical primitives can enable the full power of universal quantum computing, it has been fruitful to consider various measurement based architectures which reduce or eliminate the use of coherent unitary evolution, and also involve operations that are physically natural. In this context previous works had shown that the triplet-singlet measurement of two qubit angular momentum (or equivalently two qubit exchange symmetry) yields the power of quantum computation given access to a few additional different single qubit states or gates. However, Freedman, Hastings and Shokrian-Zini1 recently proposed a remarkable conjecture, called the 'STP=BQP' conjecture, which states that the two-qubit singlet/triplet measurement is quantum computationally universal given only an initial ensemble of maximally mixed single qubits. In this work we prove this conjecture. This provides a method for quantum computing that is fully rotationally symmetric (i.e. reference frame independent), using primitives that are physically very-accessible, naturally resilient to certain forms of error, and provably the simplest possible.
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Affiliation(s)
- Terry Rudolph
- Department of Physics, Imperial College London, London, SW7 2AZ, UK.
| | - Shashank Soyuz Virmani
- Department of Mathematics, Brunel University London, Kingston Ln, London, Uxbridge, UB8 3PH, UK.
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60
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Ijaz MA, Faryad M. Noise analysis of Grover and phase estimation algorithms implemented as quantum singular value transformations for a small number of noisy qubits. Sci Rep 2023; 13:20144. [PMID: 37978336 PMCID: PMC10656418 DOI: 10.1038/s41598-023-47246-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/02/2023] [Accepted: 11/10/2023] [Indexed: 11/19/2023] Open
Abstract
The quantum singular value transformation (QSVT) algorithm is a general framework to implement most of the known algorithms and provides a way forward for designing new algorithms. In the present work, the impact of noise on the QSVT algorithm is examined for bit flip, phase flip, bit-phase flip, and depolarizing noise models for a small number of qubits. The small number of noisy qubits approximates the currently available noisy quantum computers. For simulation results, the QSVT implementation of the Grover search and quantum phase estimation (QPE) algorithms is considered. These algorithms are among the basic quantum algorithms and form the building blocks of various applications of quantum algorithms. The results showed that the QSVT implementation of the Grover search and QPE algorithms has a consistently worse dependence upon noise than the original implementation for all four noise models. The probability of success of the Grover algorithm and phase measured by the QPE algorithm were found to exponentially depend upon the error probability in the noisy channels but only linearly dependent on the number of qubits.
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Affiliation(s)
- Muhammad Abdullah Ijaz
- Department of Physics, Lahore University of Management Sciences, Lahore, 54792, Pakistan
| | - Muhammad Faryad
- Department of Physics, Lahore University of Management Sciences, Lahore, 54792, Pakistan.
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61
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Matarèse BFE, Rusin A, Seymour C, Mothersill C. Quantum Biology and the Potential Role of Entanglement and Tunneling in Non-Targeted Effects of Ionizing Radiation: A Review and Proposed Model. Int J Mol Sci 2023; 24:16464. [PMID: 38003655 PMCID: PMC10671017 DOI: 10.3390/ijms242216464] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/20/2023] [Revised: 11/01/2023] [Accepted: 11/13/2023] [Indexed: 11/26/2023] Open
Abstract
It is well established that cells, tissues, and organisms exposed to low doses of ionizing radiation can induce effects in non-irradiated neighbors (non-targeted effects or NTE), but the mechanisms remain unclear. This is especially true of the initial steps leading to the release of signaling molecules contained in exosomes. Voltage-gated ion channels, photon emissions, and calcium fluxes are all involved but the precise sequence of events is not yet known. We identified what may be a quantum entanglement type of effect and this prompted us to consider whether aspects of quantum biology such as tunneling and entanglement may underlie the initial events leading to NTE. We review the field where it may be relevant to ionizing radiation processes. These include NTE, low-dose hyper-radiosensitivity, hormesis, and the adaptive response. Finally, we present a possible quantum biological-based model for NTE.
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Affiliation(s)
- Bruno F. E. Matarèse
- Department of Haematology, University of Cambridge, Cambridge CB2 1TN, UK;
- Department of Physics, University of Cambridge, Cambridge CB2 1TN, UK
| | - Andrej Rusin
- Department of Biology, McMaster University, Hamilton, ON L8S 4L8, Canada; (A.R.); (C.S.)
| | - Colin Seymour
- Department of Biology, McMaster University, Hamilton, ON L8S 4L8, Canada; (A.R.); (C.S.)
| | - Carmel Mothersill
- Department of Biology, McMaster University, Hamilton, ON L8S 4L8, Canada; (A.R.); (C.S.)
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62
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Karimi M, Javadi-Abhari A, Simon C, Ghobadi R. The power of one clean qubit in supervised machine learning. Sci Rep 2023; 13:19975. [PMID: 37968292 PMCID: PMC10651850 DOI: 10.1038/s41598-023-46497-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/01/2023] [Accepted: 11/01/2023] [Indexed: 11/17/2023] Open
Abstract
This paper explores the potential benefits of quantum coherence and quantum discord in the non-universal quantum computing model called deterministic quantum computing with one qubit (DQC1) in supervised machine learning. We show that the DQC1 model can be leveraged to develop an efficient method for estimating complex kernel functions. We demonstrate a simple relationship between coherence consumption and the kernel function, a crucial element in machine learning. The paper presents an implementation of a binary classification problem on IBM hardware using the DQC1 model and analyzes the impact of quantum coherence and hardware noise. The advantage of our proposal lies in its utilization of quantum discord, which is more resilient to noise than entanglement.
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Affiliation(s)
- Mahsa Karimi
- Department of Physics and Astronomy, University of Calgary, Calgary, AB, T2N 1N4, Canada.
- Institute for Quantum Science and Technology, University of Calgary, Calgary, AB, T2N 1N4, Canada.
| | - Ali Javadi-Abhari
- IBM Quantum, IBM T. J. Watson Research Center, Yorktown Heights, NY, 10598, USA
| | - Christoph Simon
- Department of Physics and Astronomy, University of Calgary, Calgary, AB, T2N 1N4, Canada
- Institute for Quantum Science and Technology, University of Calgary, Calgary, AB, T2N 1N4, Canada
| | - Roohollah Ghobadi
- Department of Physics and Astronomy, University of Calgary, Calgary, AB, T2N 1N4, Canada.
- Institute for Quantum Science and Technology, University of Calgary, Calgary, AB, T2N 1N4, Canada.
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63
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Parajuli P, Govindarajan A, Tian L. State preparation in a Jaynes-Cummings lattice with quantum optimal control. Sci Rep 2023; 13:19924. [PMID: 37963930 PMCID: PMC10645998 DOI: 10.1038/s41598-023-47002-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/20/2023] [Accepted: 11/07/2023] [Indexed: 11/16/2023] Open
Abstract
High-fidelity preparation of quantum states in an interacting many-body system is often hindered by the lack of knowledge of such states and by limited decoherence times. Here, we study a quantum optimal control (QOC) approach for fast generation of quantum ground states in a finite-sized Jaynes-Cummings lattice with unit filling. Our result shows that the QOC approach can generate quantum many-body states with high fidelity when the evolution time is above a threshold time, and it can significantly outperform the adiabatic approach. We study the dependence of the threshold time on the parameter constraints and the connection of the threshold time with the quantum speed limit. We also show that the QOC approach can be robust against control errors. Our result can lead to advances in the application of the QOC to many-body state preparation.
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Affiliation(s)
- Prabin Parajuli
- School of Natural Sciences, University of California, Merced, California, 95343, USA
| | - Anuvetha Govindarajan
- School of Natural Sciences, University of California, Merced, California, 95343, USA
| | - Lin Tian
- School of Natural Sciences, University of California, Merced, California, 95343, USA.
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64
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Steinberg M, Feld S, Jahn A. Holographic codes from hyperinvariant tensor networks. Nat Commun 2023; 14:7314. [PMID: 37951990 PMCID: PMC10640591 DOI: 10.1038/s41467-023-42743-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/26/2023] [Accepted: 10/20/2023] [Indexed: 11/14/2023] Open
Abstract
Holographic quantum-error correcting codes are models of bulk/boundary dualities such as the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, where a higher-dimensional bulk geometry is associated with the code's logical degrees of freedom. Previous discrete holographic codes based on tensor networks have reproduced the general code properties expected from continuum AdS/CFT, such as complementary recovery. However, the boundary states of such tensor networks typically do not exhibit the expected correlation functions of CFT boundary states. In this work, we show that a new class of exact holographic codes, extending the previously proposed hyperinvariant tensor networks into quantum codes, produce the correct boundary correlation functions. This approach yields a dictionary between logical states in the bulk and the critical renormalization group flow of boundary states. Furthermore, these codes exhibit a state-dependent breakdown of complementary recovery as expected from AdS/CFT under small quantum gravity corrections.
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Affiliation(s)
- Matthew Steinberg
- QuTech, Delft University of Technology, 2628, CJ, Delft, The Netherlands
- Quantum and Computer Engineering Department, Delft University of Technology, 2628, CD, Delft, The Netherlands
| | - Sebastian Feld
- QuTech, Delft University of Technology, 2628, CJ, Delft, The Netherlands
- Quantum and Computer Engineering Department, Delft University of Technology, 2628, CD, Delft, The Netherlands
| | - Alexander Jahn
- Department of Physics, Freie Universität Berlin, 14195, Berlin, Germany.
- Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA, 91125, USA.
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65
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Wieśniak M. Performance comparison of Gilbert's algorithm and machine learning in classifying Bell-diagonal two-qutrit entanglement. Sci Rep 2023; 13:19500. [PMID: 37945669 PMCID: PMC10636128 DOI: 10.1038/s41598-023-46337-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/12/2023] [Accepted: 10/31/2023] [Indexed: 11/12/2023] Open
Abstract
While classifying states as entangled or separable is one of the fundamental tasks in quantum information theory, it is also extremely challenging. This task is highly nontrivial even for relatively simple cases, such as two-qutrit Bell-diagonal states, i.e., mixtures of nine mutually orthogonal maximally entangled states. In this article we apply Gilbert's algorithm to revise previously obtained results for this class. In particular we use "entanglement cartography" to argue that most states left in [Hiesmayr, B. C. Scientific Reports 11, 19739 (2021)] as unknown to be entangled or separable are most likely indeed separable, or very weakly entangled, beyond any practical relevance. The presented technique can find endless applications in more general cases.
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Affiliation(s)
- Marcin Wieśniak
- Faculty of Mathematics, Physics, and Informatics, Institute of Theoretical Physics and Astrophysics, University of Gdańsk, 80-308, Gdańsk, Poland.
- International Centre for Theory of Quantum Technologies, University of Gdańsk, ul. Bażyńskiego 1A, 80-309, Gdańsk, Poland.
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66
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Marinkovic MK, Radulaski M. Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping. Sci Rep 2023; 13:19435. [PMID: 37945670 PMCID: PMC10636109 DOI: 10.1038/s41598-023-46138-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/21/2023] [Accepted: 10/27/2023] [Indexed: 11/12/2023] Open
Abstract
Tavis-Cummings (TC) cavity quantum electrodynamical effects, describing the interaction of N atoms with an optical resonator, are at the core of atomic, optical and solid state physics. The full numerical simulation of TC dynamics scales exponentially with the number of atoms. By restricting the open quantum system to a single excitation, typical of experimental realizations in quantum optics, we analytically solve the TC model with an arbitrary number of atoms with linear complexity. This solution allows us to devise the Quantum Mapping Algorithm of Resonator Interaction with N Atoms (Q-MARINA), an intuitive TC mapping to a quantum circuit with linear space and time scaling, whose N+1 qubits represent atoms and a lossy cavity, while the dynamics is encoded through 2N entangling gates. Finally, we benchmark the robustness of the algorithm on a quantum simulator and superconducting quantum processors against the quantum master equation solution on a classical computer.
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Affiliation(s)
- Marina Krstic Marinkovic
- Institute for Theoretical Physics, ETH Zurich, Wolfgang-Pauli-Str. 27, Zurich, 8093, Switzerland.
| | - Marina Radulaski
- Department of Electrical and Computer Engineering, University of California, Davis, 1 Shields Ave, Davis, 95616, CA, USA.
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67
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Reuer K, Landgraf J, Fösel T, O'Sullivan J, Beltrán L, Akin A, Norris GJ, Remm A, Kerschbaum M, Besse JC, Marquardt F, Wallraff A, Eichler C. Realizing a deep reinforcement learning agent for real-time quantum feedback. Nat Commun 2023; 14:7138. [PMID: 37932251 PMCID: PMC10628214 DOI: 10.1038/s41467-023-42901-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/17/2023] [Accepted: 10/25/2023] [Indexed: 11/08/2023] Open
Abstract
Realizing the full potential of quantum technologies requires precise real-time control on time scales much shorter than the coherence time. Model-free reinforcement learning promises to discover efficient feedback strategies from scratch without relying on a description of the quantum system. However, developing and training a reinforcement learning agent able to operate in real-time using feedback has been an open challenge. Here, we have implemented such an agent for a single qubit as a sub-microsecond-latency neural network on a field-programmable gate array (FPGA). We demonstrate its use to efficiently initialize a superconducting qubit and train the agent based solely on measurements. Our work is a first step towards adoption of reinforcement learning for the control of quantum devices and more generally any physical device requiring low-latency feedback.
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Affiliation(s)
- Kevin Reuer
- Department of Physics, ETH Zurich, CH-8093, Zurich, Switzerland.
- Quantum Center, ETH Zurich, CH-8093, Zurich, Switzerland.
| | - Jonas Landgraf
- Max Planck Institute for the Science of Light, Staudtstraße 2, 91058, Erlangen, Germany
- Physics Department, University of Erlangen-Nuremberg, Staudtstraße 5, 91058, Erlangen, Germany
| | - Thomas Fösel
- Max Planck Institute for the Science of Light, Staudtstraße 2, 91058, Erlangen, Germany
- Physics Department, University of Erlangen-Nuremberg, Staudtstraße 5, 91058, Erlangen, Germany
| | - James O'Sullivan
- Department of Physics, ETH Zurich, CH-8093, Zurich, Switzerland
- Quantum Center, ETH Zurich, CH-8093, Zurich, Switzerland
| | - Liberto Beltrán
- Department of Physics, ETH Zurich, CH-8093, Zurich, Switzerland
- Quantum Center, ETH Zurich, CH-8093, Zurich, Switzerland
| | - Abdulkadir Akin
- Department of Physics, ETH Zurich, CH-8093, Zurich, Switzerland
- Quantum Center, ETH Zurich, CH-8093, Zurich, Switzerland
| | - Graham J Norris
- Department of Physics, ETH Zurich, CH-8093, Zurich, Switzerland
- Quantum Center, ETH Zurich, CH-8093, Zurich, Switzerland
| | - Ants Remm
- Department of Physics, ETH Zurich, CH-8093, Zurich, Switzerland
- Quantum Center, ETH Zurich, CH-8093, Zurich, Switzerland
| | - Michael Kerschbaum
- Department of Physics, ETH Zurich, CH-8093, Zurich, Switzerland
- Quantum Center, ETH Zurich, CH-8093, Zurich, Switzerland
| | - Jean-Claude Besse
- Department of Physics, ETH Zurich, CH-8093, Zurich, Switzerland
- Quantum Center, ETH Zurich, CH-8093, Zurich, Switzerland
| | - Florian Marquardt
- Max Planck Institute for the Science of Light, Staudtstraße 2, 91058, Erlangen, Germany
- Physics Department, University of Erlangen-Nuremberg, Staudtstraße 5, 91058, Erlangen, Germany
| | - Andreas Wallraff
- Department of Physics, ETH Zurich, CH-8093, Zurich, Switzerland
- Quantum Center, ETH Zurich, CH-8093, Zurich, Switzerland
| | - Christopher Eichler
- Department of Physics, ETH Zurich, CH-8093, Zurich, Switzerland.
- Physics Department, University of Erlangen-Nuremberg, Staudtstraße 5, 91058, Erlangen, Germany.
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68
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Yu H, Ren X, Zhao C, Yang S, McCann J. Quantum-aided secure deep neural network inference on real quantum computers. Sci Rep 2023; 13:19130. [PMID: 37926734 PMCID: PMC10625985 DOI: 10.1038/s41598-023-45791-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/28/2023] [Accepted: 10/24/2023] [Indexed: 11/07/2023] Open
Abstract
Deep neural networks (DNNs) are phenomenally successful machine learning methods broadly applied to many different disciplines. However, as complex two-party computations, DNN inference using classical cryptographic methods cannot achieve unconditional security, raising concern on security risks of DNNs' application to sensitive data in many domains. We overcome such a weakness by introducing a quantum-aided security approach. We build a quantum scheme for unconditionally secure DNN inference based on quantum oblivious transfer with an untrusted third party. Leveraging DNN's noise tolerance, our approach enables complex DNN inference on comparatively low-fidelity quantum systems with limited quantum capacity. We validated our method using various applications with a five-bit real quantum computer and a quantum simulator. Both theoretical analyses and experimental results demonstrate that our approach manages to operate on existing quantum computers and achieve unconditional security with a negligible accuracy loss. This may open up new possibilities of quantum security methods for deep learning.
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Affiliation(s)
- Hanqiao Yu
- National Engineering Laboratory for Big Data Analytics, Xi'an Jiaotong University, Xi'an, 710049, China
| | - Xuebin Ren
- National Engineering Laboratory for Big Data Analytics, Xi'an Jiaotong University, Xi'an, 710049, China.
| | - Cong Zhao
- National Engineering Laboratory for Big Data Analytics, Xi'an Jiaotong University, Xi'an, 710049, China
| | - Shusen Yang
- National Engineering Laboratory for Big Data Analytics, Xi'an Jiaotong University, Xi'an, 710049, China.
- Ministry of Education Key Laboatory for Intelligent Networks and Network Security, Xi'an Jiaotong University, Xi'an, 710049, China.
| | - Julie McCann
- Department of Computing, Imperial College London, London, SW7 2AZ, UK.
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69
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Little EJ, Mrozek J, Rogers CJ, Liu J, McInnes EJL, Bowen AM, Ardavan A, Winpenny REP. Title: experimental realisation of multi-qubit gates using electron paramagnetic resonance. Nat Commun 2023; 14:7029. [PMID: 37919283 PMCID: PMC10622571 DOI: 10.1038/s41467-023-42169-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/22/2023] [Accepted: 09/28/2023] [Indexed: 11/04/2023] Open
Abstract
Quantum information processing promises to revolutionise computing; quantum algorithms have been discovered that address common tasks significantly more efficiently than their classical counterparts. For a physical system to be a viable quantum computer it must be possible to initialise its quantum state, to realise a set of universal quantum logic gates, including at least one multi-qubit gate, and to make measurements of qubit states. Molecular Electron Spin Qubits (MESQs) have been proposed to fulfil these criteria, as their bottom-up synthesis should facilitate tuning properties as desired and the reproducible production of multi-MESQ structures. Here we explore how to perform a two-qubit entangling gate on a multi-MESQ system, and how to readout the state via quantum state tomography. We propose methods of accomplishing both procedures using multifrequency pulse Electron Paramagnetic Resonance (EPR) and apply them to a model MESQ structure consisting of two nitroxide spin centres. Our results confirm the methodological principles and shed light on the experimental hurdles which must be overcome to realise a demonstration of controlled entanglement on this system.
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Affiliation(s)
- Edmund J Little
- Photon Science Institute and School of Chemistry, The University of Manchester, Oxford Road, M13 9PL, Manchester, UK
| | - Jacob Mrozek
- Clarendon Laboratory, University of Oxford, Parks Road, OX1 3PU, Oxford, UK
| | - Ciarán J Rogers
- Photon Science Institute and School of Chemistry, The University of Manchester, Oxford Road, M13 9PL, Manchester, UK
| | - Junjie Liu
- Clarendon Laboratory, University of Oxford, Parks Road, OX1 3PU, Oxford, UK
| | - Eric J L McInnes
- Photon Science Institute and School of Chemistry, The University of Manchester, Oxford Road, M13 9PL, Manchester, UK
| | - Alice M Bowen
- Photon Science Institute and School of Chemistry, The University of Manchester, Oxford Road, M13 9PL, Manchester, UK.
| | - Arzhang Ardavan
- Clarendon Laboratory, University of Oxford, Parks Road, OX1 3PU, Oxford, UK.
| | - Richard E P Winpenny
- Photon Science Institute and School of Chemistry, The University of Manchester, Oxford Road, M13 9PL, Manchester, UK.
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70
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Jiang MH, Xue W, He Q, An YY, Zheng X, Xu WJ, Xie YB, Lu Y, Zhu S, Ma XS. Quantum storage of entangled photons at telecom wavelengths in a crystal. Nat Commun 2023; 14:6995. [PMID: 37914741 PMCID: PMC10620411 DOI: 10.1038/s41467-023-42741-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/17/2023] [Accepted: 10/20/2023] [Indexed: 11/03/2023] Open
Abstract
Quantum storage and distribution of entanglement are the key ingredients for realizing a global quantum internet. Compatible with existing fiber networks, telecom-wavelength entangled photons and corresponding quantum memories are of central interest. Recently, 167Er3+ ions have been identified as a promising candidate for an efficient telecom quantum memory. However, to date, no storage of entangled photons, the crucial step of quantum memory using these promising ions, 167Er3+, has been reported. Here, we demonstrate the storage and retrieval of the entangled state of two telecom photons generated from an integrated photonic chip. Combining the natural narrow linewidth of the entangled photons and long storage time of 167Er3+ ions, we achieve storage time of 1.936 μs, more than 387 times longer than in previous works. Successful storage of entanglement in the crystal is certified using entanglement witness measurements. These results pave the way for realizing quantum networks based on solid-state devices.
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Affiliation(s)
- Ming-Hao Jiang
- National Laboratory of Solid-state Microstructures, School of Physics, College of Engineering and Applied Sciences, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, Nanjing, China
| | - Wenyi Xue
- National Laboratory of Solid-state Microstructures, School of Physics, College of Engineering and Applied Sciences, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, Nanjing, China
| | - Qian He
- National Laboratory of Solid-state Microstructures, School of Physics, College of Engineering and Applied Sciences, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, Nanjing, China
| | - Yu-Yang An
- National Laboratory of Solid-state Microstructures, School of Physics, College of Engineering and Applied Sciences, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, Nanjing, China
| | - Xiaodong Zheng
- National Laboratory of Solid-state Microstructures, School of Physics, College of Engineering and Applied Sciences, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, Nanjing, China
| | - Wen-Jie Xu
- National Laboratory of Solid-state Microstructures, School of Physics, College of Engineering and Applied Sciences, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, Nanjing, China
| | - Yu-Bo Xie
- National Laboratory of Solid-state Microstructures, School of Physics, College of Engineering and Applied Sciences, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, Nanjing, China
| | - Yanqing Lu
- National Laboratory of Solid-state Microstructures, School of Physics, College of Engineering and Applied Sciences, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, Nanjing, China
| | - Shining Zhu
- National Laboratory of Solid-state Microstructures, School of Physics, College of Engineering and Applied Sciences, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, Nanjing, China
| | - Xiao-Song Ma
- National Laboratory of Solid-state Microstructures, School of Physics, College of Engineering and Applied Sciences, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, Nanjing, China.
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, 230026, Hefei, Anhui, China.
- Hefei National Laboratory, 230088, Hefei, China.
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71
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Leib D, Seidel T, Jäger S, Heese R, Jones C, Awasthi A, Niederle A, Bortz M. An optimization case study for solving a transport robot scheduling problem on quantum-hybrid and quantum-inspired hardware. Sci Rep 2023; 13:18743. [PMID: 37907614 PMCID: PMC10618446 DOI: 10.1038/s41598-023-45668-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/14/2023] [Accepted: 10/22/2023] [Indexed: 11/02/2023] Open
Abstract
We present a comprehensive case study comparing the performance of D-Waves' quantum-classical hybrid framework, Fujitsu's quantum-inspired digital annealer, and Gurobi's state-of-the-art classical solver in solving a transport robot scheduling problem. This problem originates from an industrially relevant real-world scenario. We provide three different models for our problem following different design philosophies. In our benchmark, we focus on the solution quality and end-to-end runtime of different model and solver combinations. We find promising results for the digital annealer and some opportunities for the hybrid quantum annealer in direct comparison with Gurobi. Our study provides insights into the workflow for solving an application-oriented optimization problem with different strategies, and can be useful for evaluating the strengths and weaknesses of different approaches.
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Affiliation(s)
- Dominik Leib
- Fraunhofer ITWM, Optimization Department, 67663, Kaiserslautern, Germany.
| | - Tobias Seidel
- Fraunhofer ITWM, Optimization Department, 67663, Kaiserslautern, Germany
| | - Sven Jäger
- Fraunhofer ITWM, Optimization Department, 67663, Kaiserslautern, Germany
| | - Raoul Heese
- Fraunhofer ITWM, Optimization Department, 67663, Kaiserslautern, Germany
| | - Caitlin Jones
- BASF Digital Solutions GmbH, 67061, Ludwigshafen am Rhein, Germany
| | - Abhishek Awasthi
- BASF Digital Solutions GmbH, 67061, Ludwigshafen am Rhein, Germany
| | | | - Michael Bortz
- Fraunhofer ITWM, Optimization Department, 67663, Kaiserslautern, Germany
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72
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Zhu D, Shen W, Giani A, Ray-Majumder S, Neculaes B, Johri S. Copula-based risk aggregation with trapped ion quantum computers. Sci Rep 2023; 13:18511. [PMID: 37898631 PMCID: PMC10613293 DOI: 10.1038/s41598-023-44151-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/16/2023] [Accepted: 10/04/2023] [Indexed: 10/30/2023] Open
Abstract
Copulas are mathematical tools for modeling joint probability distributions. In the past 60 years they have become an essential analysis tool on classical computers in various fields. The recent finding that copulas can be expressed as maximally entangled quantum states has revealed a promising approach to practical quantum advantages: performing tasks faster, requiring less memory, or, as we show, yielding better predictions. Studying the scalability of this quantum approach as both the precision and the number of modeled variables increase is crucial for its adoption in real-world applications. In this paper, we successfully apply a Quantum Circuit Born Machine (QCBM) based approach to modeling 3- and 4-variable copulas on trapped ion quantum computers. We study the training of QCBMs with different levels of precision and circuit design on a simulator and a state-of-the-art trapped ion quantum computer. We observe decreased training efficacy due to the increased complexity in parameter optimization as the models scale up. To address this challenge, we introduce an annealing-inspired strategy that dramatically improves the training results. In our end-to-end tests, various configurations of the quantum models make a comparable or better prediction in risk aggregation tasks than the standard classical models.
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Affiliation(s)
- Daiwei Zhu
- IonQ Inc., 4505 Campus Drive, College Park, MD, USA.
| | - Weiwei Shen
- GE Research, One Research Circle, Niskayuna, NY, USA
| | | | | | | | - Sonika Johri
- IonQ Inc., 4505 Campus Drive, College Park, MD, USA
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73
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Kirstein E, Smirnov DS, Zhukov EA, Yakovlev DR, Kopteva NE, Dirin DN, Hordiichuk O, Kovalenko MV, Bayer M. The squeezed dark nuclear spin state in lead halide perovskites. Nat Commun 2023; 14:6683. [PMID: 37865649 PMCID: PMC10590392 DOI: 10.1038/s41467-023-42265-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/25/2023] [Accepted: 10/04/2023] [Indexed: 10/23/2023] Open
Abstract
Coherent many-body states are highly promising for robust quantum information processing. While far-reaching theoretical predictions have been made for various implementations, direct experimental evidence of their appealing properties can be challenging. Here, we demonstrate optical manipulation of the nuclear spin ensemble in the lead halide perovskite semiconductor FAPbBr3 (FA = formamidinium), targeting a long-postulated collective dark state that is insensitive to optical pumping after its build-up. Via optical orientation of localized hole spins we drive the nuclear many-body system into this entangled state, requiring a weak magnetic field of only a few milli-Tesla strength at cryogenic temperatures. During its fast establishment, the nuclear polarization along the optical axis remains small, while the transverse nuclear spin fluctuations are strongly reduced, corresponding to spin squeezing as evidenced by a strong violation of the generalized nuclear squeezing-inequality with ξs < 0.5. The dark state corresponds to an ~35-body entanglement between the nuclei. Dark nuclear spin states can be exploited to store quantum information benefiting from their long-lived many-body coherence and to perform quantum measurements with a precision beyond the standard limit.
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Affiliation(s)
- E Kirstein
- Experimental Physics 2, Department of Physics, TU Dortmund, 44227, Dortmund, Germany.
| | - D S Smirnov
- Ioffe Institute, 194021, St. Petersburg, Russia.
| | - E A Zhukov
- Experimental Physics 2, Department of Physics, TU Dortmund, 44227, Dortmund, Germany
| | - D R Yakovlev
- Experimental Physics 2, Department of Physics, TU Dortmund, 44227, Dortmund, Germany
| | - N E Kopteva
- Experimental Physics 2, Department of Physics, TU Dortmund, 44227, Dortmund, Germany
| | - D N Dirin
- Laboratory of Inorganic Chemistry, Department of Chemistry and Applied Biosciences, ETH Zürich, 8093, Zürich, Switzerland
| | - O Hordiichuk
- Laboratory of Inorganic Chemistry, Department of Chemistry and Applied Biosciences, ETH Zürich, 8093, Zürich, Switzerland
- Laboratory for Thin Films and Photovoltaics, Department of Advanced Materials and Surfaces, Empa - Swiss Federal Laboratories for Materials Science and Technology, 8600, Dübendorf, Switzerland
| | - M V Kovalenko
- Laboratory of Inorganic Chemistry, Department of Chemistry and Applied Biosciences, ETH Zürich, 8093, Zürich, Switzerland
- Laboratory for Thin Films and Photovoltaics, Department of Advanced Materials and Surfaces, Empa - Swiss Federal Laboratories for Materials Science and Technology, 8600, Dübendorf, Switzerland
| | - M Bayer
- Experimental Physics 2, Department of Physics, TU Dortmund, 44227, Dortmund, Germany
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74
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Domingo L, Djukic M, Johnson C, Borondo F. Binding affinity predictions with hybrid quantum-classical convolutional neural networks. Sci Rep 2023; 13:17951. [PMID: 37864075 PMCID: PMC10589342 DOI: 10.1038/s41598-023-45269-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/07/2023] [Accepted: 10/17/2023] [Indexed: 10/22/2023] Open
Abstract
Central in drug design is the identification of biomolecules that uniquely and robustly bind to a target protein, while minimizing their interactions with others. Accordingly, precise binding affinity prediction, enabling the accurate selection of suitable candidates from an extensive pool of potential compounds, can greatly reduce the expenses associated to practical experimental protocols. In this respect, recent advances revealed that deep learning methods show superior performance compared to other traditional computational methods, especially with the advent of large datasets. These methods, however, are complex and very time-intensive, thus representing an important clear bottleneck for their development and practical application. In this context, the emerging realm of quantum machine learning holds promise for enhancing numerous classical machine learning algorithms. In this work, we take one step forward and present a hybrid quantum-classical convolutional neural network, which is able to reduce by 20% the complexity of the classical counterpart while still maintaining optimal performance in the predictions. Additionally, this results in a significant cost and time savings of up to 40% in the training stage, which means a substantial speed-up of the drug design process.
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Affiliation(s)
- L Domingo
- Grupo de Sistemas Complejos, Universidad Politécnica de Madrid, 28035, Madrid, Spain.
- Instituto de Ciencias Matemáticas (ICMAT), Campus de Cantoblanco UAM, Nicolás Cabrera, 13-15, 28049, Madrid, Spain.
- Departamento de Química, Universidad Autónoma de Madrid, 28049, Cantoblanco, Madrid, Spain.
- Ingenii Inc., New York, USA.
| | | | | | - F Borondo
- Departamento de Química, Universidad Autónoma de Madrid, 28049, Cantoblanco, Madrid, Spain
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75
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Shor O, Benninger F, Khrennikov A. Quantization of events in the event-universe and the emergence of quantum mechanics. Sci Rep 2023; 13:17865. [PMID: 37857671 PMCID: PMC10587342 DOI: 10.1038/s41598-023-44550-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/10/2023] [Accepted: 10/10/2023] [Indexed: 10/21/2023] Open
Abstract
Quantum mechanics (QM) is derived based on a universe composed solely of events, for example, outcomes of observables. Such an event universe is represented by a dendrogram (a finite tree) and in the limit of infinitely many events by the p-adic tree. The trees are endowed with an ultrametric expressing hierarchical relationships between events. All events are coupled through the tree structure. Such a holistic picture of event-processes was formalized within the Dendrographic Hologram Theory (DHT). The present paper is devoted to the emergence of QM from DHT. We used the generalization of the QM-emergence scheme developed by Smolin. Following this scheme, we did not quantize events but rather the differences between them and through analytic derivation arrived at Bohmian mechanics. We remark that, although Bohmian mechanics is not the main stream approach to quantum physics, it describes adequately all quantum experiments. Previously, we were able to embed the basic elements of general relativity (GR) into DHT, and now after Smolin-like quantization of DHT, we can take a step toward quantization of GR. Finally, we remark that DHT is nonlocal in the treelike geometry, but this nonlocality refers to relational nonlocality in the space of events and not Einstein's spatial nonlocality. By shifting from spatial nonlocality to relational we make Bohmian mechanics less exotic.
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Affiliation(s)
- Oded Shor
- Felsenstein Medical Research Centre, Petach Tikva, Israel
- Faculty of Medicine, Tel Aviv University, Tel Aviv, Israel
| | - Felix Benninger
- Felsenstein Medical Research Centre, Petach Tikva, Israel
- Department of Neurology, Rabin Medical Centre, Petach Tikva, Israel
- Faculty of Medicine, Tel Aviv University, Tel Aviv, Israel
| | - Andrei Khrennikov
- Department of Mathematics, Faculty of Technology, Linnaeus University, Vaxjö, Sweden.
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76
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Le TK, Nguyen HQ, Ho LB. Variational quantum metrology for multiparameter estimation under dephasing noise. Sci Rep 2023; 13:17775. [PMID: 37853037 PMCID: PMC10584960 DOI: 10.1038/s41598-023-44786-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/05/2023] [Accepted: 10/12/2023] [Indexed: 10/20/2023] Open
Abstract
We present a hybrid quantum-classical variational scheme to enhance precision in quantum metrology. In the scheme, both the initial state and the measurement basis in the quantum part are parameterized and optimized via the classical part. It enables the maximization of information gained about the measured quantity. We discuss specific applications to 3D magnetic field sensing under several dephasing noise models. Indeed, we demonstrate its ability to simultaneously estimate all parameters and surpass the standard quantum limit, making it a powerful tool for metrological applications.
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Affiliation(s)
- Trung Kien Le
- Department of Physics, University of California, Santa Barbara, Santa Barbara, USA
- Department of Applied Physics, Stanford University, Stanford, California, 94305, USA
| | - Hung Q Nguyen
- Nano and Energy Center, University of Science, Vietnam National University, Hanoi, 120401, Vietnam
| | - Le Bin Ho
- Frontier Research Institute for Interdisciplinary Sciences, Tohoku University, Sendai, 980-8578, Japan.
- Department of Applied Physics, Graduate School of Engineering, Tohoku University, Sendai, 980-8579, Japan.
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77
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Abdelmagid R, Alshehhi K, Sadiek G. Entanglement Degradation in Two Interacting Qubits Coupled to Dephasing Environments. Entropy (Basel) 2023; 25:1458. [PMID: 37895579 PMCID: PMC10606766 DOI: 10.3390/e25101458] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/12/2023] [Revised: 10/04/2023] [Accepted: 10/12/2023] [Indexed: 10/29/2023]
Abstract
One of the main obstacles toward building efficient quantum computing systems is decoherence, where the inevitable interaction between the qubits and the surrounding environment leads to a vanishing entanglement. We consider a system of two interacting asymmetric two-level atoms (qubits) in the presence of pure and correlated dephasing environments. We study the dynamics of entanglement while varying the interaction strength between the two qubits, their relative frequencies, and their coupling strength to the environment starting from different initial states of practical interest. The impact of the asymmetry of the two qubits, reflected in their different frequencies and coupling strengths to the environment, varies significantly depending on the initial state of the system and its degree of anisotropy. For an initial disentangled, or a Werner, state, as the difference between the frequencies increases, the entanglement decay rate increases, with more persistence at the higher degrees of anisotropy in the former state. However, for an initial anti-correlated Bell state, the entanglement decays more rapidly in the symmetric case compared with the asymmetric one. The difference in the coupling strengths of the two qubits to the pure (uncorrelated) dephasing environment leads to higher entanglement decay in the different initial state cases, though the rate varies depending on the degree of anisotropy and the initial state. Interestingly, the correlated dephasing environment, within a certain range, was found to enhance the entanglement dynamics starting from certain initial states, such as the disentangled, anti-correlated Bell, and Werner, whereas it exhibits a decaying effect in other cases such as the initial correlated Bell state.
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Affiliation(s)
- Rahma Abdelmagid
- Department of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, United Arab Emirates; (R.A.); (K.A.)
| | - Khadija Alshehhi
- Department of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, United Arab Emirates; (R.A.); (K.A.)
| | - Gehad Sadiek
- Department of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, United Arab Emirates; (R.A.); (K.A.)
- Department of Physics, Ain Shams University, Cairo 11566, Egypt
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78
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He XL, Lu Y, Bao DQ, Xue H, Jiang WB, Wang Z, Roudsari AF, Delsing P, Tsai JS, Lin ZR. Fast generation of Schrödinger cat states using a Kerr-tunable superconducting resonator. Nat Commun 2023; 14:6358. [PMID: 37821443 PMCID: PMC10567735 DOI: 10.1038/s41467-023-42057-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/06/2023] [Accepted: 09/28/2023] [Indexed: 10/13/2023] Open
Abstract
Schrödinger cat states, quantum superpositions of macroscopically distinct classical states, are an important resource for quantum communication, quantum metrology and quantum computation. Especially, cat states in a phase space protected against phase-flip errors can be used as a logical qubit. However, cat states, normally generated in three-dimensional cavities and/or strong multi-photon drives, are facing the challenges of scalability and controllability. Here, we present a strategy to generate and preserve cat states in a coplanar superconducting circuit by the fast modulation of Kerr nonlinearity. At the Kerr-free work point, our cat states are passively preserved due to the vanishing Kerr effect. We are able to prepare a 2-component cat state in our chip-based device with a fidelity reaching 89.1% under a 96 ns gate time. Our scheme shows an excellent route to constructing a chip-based bosonic quantum processor.
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Affiliation(s)
- X L He
- National Key Laboratory of Materials for Integrated Circuits, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, 200050, Shanghai, China
- University of Chinese Academy of Science, 100049, Beijing, China
| | - Yong Lu
- 3rd Physikalisches Institut, University of Stuttgart, 70569, Stuttgart, Germany.
- Microtechnology and Nanoscience, Chalmers University of Technology, SE-412 96, Göteborg, Sweden.
| | - D Q Bao
- National Key Laboratory of Materials for Integrated Circuits, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, 200050, Shanghai, China
- University of Chinese Academy of Science, 100049, Beijing, China
| | - Hang Xue
- National Key Laboratory of Materials for Integrated Circuits, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, 200050, Shanghai, China
- University of Chinese Academy of Science, 100049, Beijing, China
| | - W B Jiang
- National Key Laboratory of Materials for Integrated Circuits, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, 200050, Shanghai, China
- University of Chinese Academy of Science, 100049, Beijing, China
| | - Z Wang
- National Key Laboratory of Materials for Integrated Circuits, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, 200050, Shanghai, China
- University of Chinese Academy of Science, 100049, Beijing, China
| | - A F Roudsari
- Microtechnology and Nanoscience, Chalmers University of Technology, SE-412 96, Göteborg, Sweden
| | - Per Delsing
- Microtechnology and Nanoscience, Chalmers University of Technology, SE-412 96, Göteborg, Sweden
| | - J S Tsai
- Graduate School of Science, Tokyo University of Science, Shinjuku, Tokyo, 162-0825, Japan
- Center for Quantum Computing, RIKEN, Wako, Saitama, 351-0198, Japan
| | - Z R Lin
- National Key Laboratory of Materials for Integrated Circuits, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, 200050, Shanghai, China.
- University of Chinese Academy of Science, 100049, Beijing, China.
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79
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Teoh JD, Winkel P, Babla HK, Chapman BJ, Claes J, de Graaf SJ, Garmon JWO, Kalfus WD, Lu Y, Maiti A, Sahay K, Thakur N, Tsunoda T, Xue SH, Frunzio L, Girvin SM, Puri S, Schoelkopf RJ. Dual-rail encoding with superconducting cavities. Proc Natl Acad Sci U S A 2023; 120:e2221736120. [PMID: 37801473 PMCID: PMC10576063 DOI: 10.1073/pnas.2221736120] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2022] [Accepted: 08/07/2023] [Indexed: 10/08/2023] Open
Abstract
The design of quantum hardware that reduces and mitigates errors is essential for practical quantum error correction (QEC) and useful quantum computation. To this end, we introduce the circuit-Quantum Electrodynamics (QED) dual-rail qubit in which our physical qubit is encoded in the single-photon subspace, [Formula: see text], of two superconducting microwave cavities. The dominant photon loss errors can be detected and converted into erasure errors, which are in general much easier to correct. In contrast to linear optics, a circuit-QED implementation of the dual-rail code offers unique capabilities. Using just one additional transmon ancilla per dual-rail qubit, we describe how to perform a gate-based set of universal operations that includes state preparation, logical readout, and parametrizable single and two-qubit gates. Moreover, first-order hardware errors in the cavities and the transmon can be detected and converted to erasure errors in all operations, leaving background Pauli errors that are orders of magnitude smaller. Hence, the dual-rail cavity qubit exhibits a favorable hierarchy of error rates and is expected to perform well below the relevant QEC thresholds with today's coherence times.
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Affiliation(s)
- James D. Teoh
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Patrick Winkel
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Harshvardhan K. Babla
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Benjamin J. Chapman
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Jahan Claes
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Stijn J. de Graaf
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - John W. O. Garmon
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - William D. Kalfus
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Yao Lu
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Aniket Maiti
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Kaavya Sahay
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Neel Thakur
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Takahiro Tsunoda
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Sophia H. Xue
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Luigi Frunzio
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Steven M. Girvin
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Shruti Puri
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
| | - Robert J. Schoelkopf
- Department of Applied Physics, Yale University, New Haven, CT06511
- Department of Physics, Yale University, New Haven, CT06511
- Yale Quantum Institute, Yale University, New Haven, CT06511
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80
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Rahman AU, Ali H, Zangi SM, Qiao CF. Extremal quantum correlation generation using a hybrid channel. Sci Rep 2023; 13:16654. [PMID: 37789025 PMCID: PMC10547701 DOI: 10.1038/s41598-023-43811-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/09/2023] [Accepted: 09/28/2023] [Indexed: 10/05/2023] Open
Abstract
The preservation of quantum correlations requires optimal procedures and the proper design of the transmitting channels. In this regard, we address designing a hybrid channel comprising a single-mode cavity accompanied by a super-Gaussian beam and local dephasing parts based on the dynamics of quantum characteristics. We choose two-level atoms and various functions such as traced-distance discord, concurrence, and local-quantum uncertainty to analyze the effectiveness of the hybrid channel to preserve quantum correlations along with entropy suppression discussed using linear entropy. The joint configuration of the considered fields is found to not only preserve but also generate quantum correlations even in the presence of local dephasing. Most importantly, within certain limits, the proposed channel can be readily regulated to generate maximal quantum correlations and complete suppression of the disorder. Besides, compared to the individual parts, mixing the Fock state cavity, super-Gaussian beam, and local dephasing remains a resourceful choice for the prolonged quantum correlations' preservation. Finally, we present an interrelationship between the considered two-qubit correlations' functions, showing the deviation between each two correlations and of the considered state from maximal entanglement under the influence of the assumed hybrid channel.
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Affiliation(s)
- Atta Ur Rahman
- School of Physics, University of Chinese Academy of Science, Yuquan Road 19A, Beijing, 100049, China
| | - Hazrat Ali
- Abbottabad University of Science and Technology, Havellian, KP, 22500, Pakistan
| | - S M Zangi
- School of Physics and Astronomy, Yunnan University, Kunming, 650500, China
| | - Cong-Feng Qiao
- School of Physics, University of Chinese Academy of Science, Yuquan Road 19A, Beijing, 100049, China.
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81
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Brown AR, Freedman MH, Lin HW, Susskind L. Universality in long-distance geometry and quantum complexity. Nature 2023; 622:58-62. [PMID: 37794268 PMCID: PMC10550822 DOI: 10.1038/s41586-023-06460-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/02/2023] [Accepted: 07/20/2023] [Indexed: 10/06/2023]
Abstract
In physics, two systems that radically differ at short scales can exhibit strikingly similar macroscopic behaviour: they are part of the same long-distance universality class1. Here we apply this viewpoint to geometry and initiate a program of classifying homogeneous metrics on group manifolds2 by their long-distance properties. We show that many metrics on low-dimensional Lie groups have markedly different short-distance properties but nearly identical distance functions at long distances, and provide evidence that this phenomenon is even more robust in high dimensions. An application of these ideas of particular interest to physics and computer science is complexity geometry3-7-the study of quantum computational complexity using Riemannian geometry. We argue for the existence of a large universality class of definitions of quantum complexity, each linearly related to the other, a much finer-grained equivalence than typically considered. We conjecture that a new effective metric emerges at larger complexities that describes a broad class of complexity geometries, insensitive to various choices of microscopic penalty factors. We discuss the implications for recent conjectures in quantum gravity.
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Affiliation(s)
- Adam R Brown
- Google DeepMind, Mountain View, CA, USA.
- Department of Physics, Stanford University, Stanford, CA, USA.
| | - Michael H Freedman
- Department of Mathematics, University of California, Santa Barbara, Santa Barbara, CA, USA
| | - Henry W Lin
- Google DeepMind, Mountain View, CA, USA
- Department of Physics, Stanford University, Stanford, CA, USA
- Department of Physics, Princeton University, Princeton, NJ, USA
| | - Leonard Susskind
- Google DeepMind, Mountain View, CA, USA
- Department of Physics, Stanford University, Stanford, CA, USA
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82
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Evered SJ, Bluvstein D, Kalinowski M, Ebadi S, Manovitz T, Zhou H, Li SH, Geim AA, Wang TT, Maskara N, Levine H, Semeghini G, Greiner M, Vuletić V, Lukin MD. High-fidelity parallel entangling gates on a neutral-atom quantum computer. Nature 2023; 622:268-272. [PMID: 37821591 PMCID: PMC10567572 DOI: 10.1038/s41586-023-06481-y] [Citation(s) in RCA: 9] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/11/2023] [Accepted: 07/25/2023] [Indexed: 10/13/2023]
Abstract
The ability to perform entangling quantum operations with low error rates in a scalable fashion is a central element of useful quantum information processing1. Neutral-atom arrays have recently emerged as a promising quantum computing platform, featuring coherent control over hundreds of qubits2,3 and any-to-any gate connectivity in a flexible, dynamically reconfigurable architecture4. The main outstanding challenge has been to reduce errors in entangling operations mediated through Rydberg interactions5. Here we report the realization of two-qubit entangling gates with 99.5% fidelity on up to 60 atoms in parallel, surpassing the surface-code threshold for error correction6,7. Our method uses fast, single-pulse gates based on optimal control8, atomic dark states to reduce scattering9 and improvements to Rydberg excitation and atom cooling. We benchmark fidelity using several methods based on repeated gate applications10,11, characterize the physical error sources and outline future improvements. Finally, we generalize our method to design entangling gates involving a higher number of qubits, which we demonstrate by realizing low-error three-qubit gates12,13. By enabling high-fidelity operation in a scalable, highly connected system, these advances lay the groundwork for large-scale implementation of quantum algorithms14, error-corrected circuits7 and digital simulations15.
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Affiliation(s)
- Simon J Evered
- Department of Physics, Harvard University, Cambridge, MA, USA
| | - Dolev Bluvstein
- Department of Physics, Harvard University, Cambridge, MA, USA
| | | | - Sepehr Ebadi
- Department of Physics, Harvard University, Cambridge, MA, USA
| | - Tom Manovitz
- Department of Physics, Harvard University, Cambridge, MA, USA
| | - Hengyun Zhou
- Department of Physics, Harvard University, Cambridge, MA, USA
- QuEra Computing Inc., Boston, MA, USA
| | - Sophie H Li
- Department of Physics, Harvard University, Cambridge, MA, USA
| | | | - Tout T Wang
- Department of Physics, Harvard University, Cambridge, MA, USA
| | - Nishad Maskara
- Department of Physics, Harvard University, Cambridge, MA, USA
| | - Harry Levine
- Department of Physics, Harvard University, Cambridge, MA, USA
- AWS Center for Quantum Computing, Pasadena, CA, USA
| | - Giulia Semeghini
- Harvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA
| | - Markus Greiner
- Department of Physics, Harvard University, Cambridge, MA, USA
| | - Vladan Vuletić
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, USA
- Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA
| | - Mikhail D Lukin
- Department of Physics, Harvard University, Cambridge, MA, USA.
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83
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Scholl P, Shaw AL, Tsai RBS, Finkelstein R, Choi J, Endres M. Erasure conversion in a high-fidelity Rydberg quantum simulator. Nature 2023; 622:273-278. [PMID: 37821592 PMCID: PMC10567575 DOI: 10.1038/s41586-023-06516-4] [Citation(s) in RCA: 5] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/05/2023] [Accepted: 08/03/2023] [Indexed: 10/13/2023]
Abstract
Minimizing and understanding errors is critical for quantum science, both in noisy intermediate scale quantum (NISQ) devices1 and for the quest towards fault-tolerant quantum computation2,3. Rydberg arrays have emerged as a prominent platform in this context4 with impressive system sizes5,6 and proposals suggesting how error-correction thresholds could be significantly improved by detecting leakage errors with single-atom resolution7,8, a form of erasure error conversion9-12. However, two-qubit entanglement fidelities in Rydberg atom arrays13,14 have lagged behind competitors15,16 and this type of erasure conversion is yet to be realized for matter-based qubits in general. Here we demonstrate both erasure conversion and high-fidelity Bell state generation using a Rydberg quantum simulator5,6,17,18. When excising data with erasure errors observed via fast imaging of alkaline-earth atoms19-22, we achieve a Bell state fidelity of [Formula: see text], which improves to [Formula: see text] when correcting for remaining state-preparation errors. We further apply erasure conversion in a quantum simulation experiment for quasi-adiabatic preparation of long-range order across a quantum phase transition, and reveal the otherwise hidden impact of these errors on the simulation outcome. Our work demonstrates the capability for Rydberg-based entanglement to reach fidelities in the 0.999 regime, with higher fidelities a question of technical improvements, and shows how erasure conversion can be utilized in NISQ devices. These techniques could be translated directly to quantum-error-correction codes with the addition of long-lived qubits7,22-24.
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Affiliation(s)
- Pascal Scholl
- California Institute of Technology, Pasadena, CA, USA
| | - Adam L Shaw
- California Institute of Technology, Pasadena, CA, USA
| | | | | | - Joonhee Choi
- California Institute of Technology, Pasadena, CA, USA
- Department of Electrical Engineering, Stanford University, Stanford, CA, USA
| | - Manuel Endres
- California Institute of Technology, Pasadena, CA, USA.
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84
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Hoke JC, Ippoliti M, Rosenberg E, Abanin D, Acharya R, Andersen TI, Ansmann M, Arute F, Arya K, Asfaw A, Atalaya J, Bardin JC, Bengtsson A, Bortoli G, Bourassa A, Bovaird J, Brill L, Broughton M, Buckley BB, Buell DA, Burger T, Burkett B, Bushnell N, Chen Z, Chiaro B, Chik D, Cogan J, Collins R, Conner P, Courtney W, Crook AL, Curtin B, Dau AG, Debroy DM, Del Toro Barba A, Demura S, Di Paolo A, Drozdov IK, Dunsworth A, Eppens D, Erickson C, Farhi E, Fatemi R, Ferreira VS, Burgos LF, Forati E, Fowler AG, Foxen B, Giang W, Gidney C, Gilboa D, Giustina M, Gosula R, Gross JA, Habegger S, Hamilton MC, Hansen M, Harrigan MP, Harrington SD, Heu P, Hoffmann MR, Hong S, Huang T, Huff A, Huggins WJ, Isakov SV, Iveland J, Jeffrey E, Jiang Z, Jones C, Juhas P, Kafri D, Kechedzhi K, Khattar T, Khezri M, Kieferová M, Kim S, Kitaev A, Klimov PV, Klots AR, Korotkov AN, Kostritsa F, Kreikebaum JM, Landhuis D, Laptev P, Lau KM, Laws L, Lee J, Lee KW, Lensky YD, Lester BJ, Lill AT, Liu W, Locharla A, Martin O, McClean JR, McEwen M, Miao KC, Mieszala A, Montazeri S, Morvan A, Movassagh R, Mruczkiewicz W, Neeley M, Neill C, Nersisyan A, Newman M, Ng JH, Nguyen A, Nguyen M, Niu MY, O’Brien TE, Omonije S, Opremcak A, Petukhov A, Potter R, Pryadko LP, Quintana C, Rocque C, Rubin NC, Saei N, Sank D, Sankaragomathi K, Satzinger KJ, Schurkus HF, Schuster C, Shearn MJ, Shorter A, Shutty N, Shvarts V, Skruzny J, Smith WC, Somma R, Sterling G, Strain D, Szalay M, Torres A, Vidal G, Villalonga B, Heidweiller CV, White T, Woo BWK, Xing C, Yao ZJ, Yeh P, Yoo J, Young G, Zalcman A, Zhang Y, Zhu N, Zobrist N, Neven H, Babbush R, Bacon D, Boixo S, Hilton J, Lucero E, Megrant A, Kelly J, Chen Y, Smelyanskiy V, Mi X, Khemani V, Roushan P. Measurement-induced entanglement and teleportation on a noisy quantum processor. Nature 2023; 622:481-486. [PMID: 37853150 PMCID: PMC10584681 DOI: 10.1038/s41586-023-06505-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2023] [Accepted: 08/01/2023] [Indexed: 10/20/2023]
Abstract
Measurement has a special role in quantum theory1: by collapsing the wavefunction, it can enable phenomena such as teleportation2 and thereby alter the 'arrow of time' that constrains unitary evolution. When integrated in many-body dynamics, measurements can lead to emergent patterns of quantum information in space-time3-10 that go beyond the established paradigms for characterizing phases, either in or out of equilibrium11-13. For present-day noisy intermediate-scale quantum (NISQ) processors14, the experimental realization of such physics can be problematic because of hardware limitations and the stochastic nature of quantum measurement. Here we address these experimental challenges and study measurement-induced quantum information phases on up to 70 superconducting qubits. By leveraging the interchangeability of space and time, we use a duality mapping9,15-17 to avoid mid-circuit measurement and access different manifestations of the underlying phases, from entanglement scaling3,4 to measurement-induced teleportation18. We obtain finite-sized signatures of a phase transition with a decoding protocol that correlates the experimental measurement with classical simulation data. The phases display remarkably different sensitivity to noise, and we use this disparity to turn an inherent hardware limitation into a useful diagnostic. Our work demonstrates an approach to realizing measurement-induced physics at scales that are at the limits of current NISQ processors.
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85
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Salimian S, Tavassoly MK, Ghasemi M. Multistage entanglement swapping using superconducting qubits in the absence and presence of dissipative environment without Bell state measurement. Sci Rep 2023; 13:16342. [PMID: 37770646 PMCID: PMC10539405 DOI: 10.1038/s41598-023-43592-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/19/2023] [Accepted: 09/26/2023] [Indexed: 09/30/2023] Open
Abstract
In recent decades the entangled state generation is of great importance in the quantum information processing and technologies. In this paper, producing the distributed entangled state of superconducting (SC) qubits is considered using an entanglement swapping protocol in three successive stages. The SC qubit pairs [Formula: see text] with [Formula: see text], where each pair of the qubits has been placed on a separate chip, are initially prepared in maximally entangled states. The external magnetic fields on capacitively coupled pairs [Formula: see text] and [Formula: see text] are implemented for modulating the frequency of qubits. Then, the SC qubits [Formula: see text] and [Formula: see text] are converted into entangled states via operating proper measurements instead of Bell state measurement (which is generally a hard task). Finally, the distributed entangled state of target SC qubits [Formula: see text] can be obtained by applying external magnetic fields on qubits [Formula: see text] and via operating suitable measurements. This process is studied in the absence and presence of thermal decoherence effects. The concurrence, as a measure of entanglement between two target qubits, success probability of the distributed entangled states and the corresponding fidelities are evaluated, by which we find that the state of target SC qubits [Formula: see text] is converted to Bell state with maximum entanglement at some moments of time. Under appropriate conditions the maximum of success probability of the obtained states in each stage approaches 1. However, the maxima of concurrence and success probability gradually decrease due to the thermal noise as time goes on. Moreover, compelling amounts of fidelity, success probability and entanglement can be obtained for the achieved entangled states.
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Affiliation(s)
- S Salimian
- Laser and Optics Group, Faculty of Physics, Yazd University, Yazd, Iran
| | - M K Tavassoly
- Laser and Optics Group, Faculty of Physics, Yazd University, Yazd, Iran.
| | - M Ghasemi
- Laser and Optics Group, Faculty of Physics, Yazd University, Yazd, Iran
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86
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Lu Y, Maiti A, Garmon JWO, Ganjam S, Zhang Y, Claes J, Frunzio L, Girvin SM, Schoelkopf RJ. Author Correction: High-fidelity parametric beamsplitting with a parity-protected converter. Nat Commun 2023; 14:6055. [PMID: 37770438 PMCID: PMC10539307 DOI: 10.1038/s41467-023-41822-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 09/30/2023] Open
Affiliation(s)
- Yao Lu
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA.
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA.
| | - Aniket Maiti
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA.
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA.
| | - John W O Garmon
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Suhas Ganjam
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Yaxing Zhang
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Jahan Claes
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Luigi Frunzio
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Steven M Girvin
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Robert J Schoelkopf
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA.
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA.
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87
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Wang S, Baksi A, Chattopadhyay A. A Higher radix architecture for quantum carry-lookahead adder. Sci Rep 2023; 13:16338. [PMID: 37770461 PMCID: PMC10539406 DOI: 10.1038/s41598-023-41122-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/18/2023] [Accepted: 08/22/2023] [Indexed: 09/30/2023] Open
Abstract
In this paper, we propose an efficient quantum carry-lookahead adder based on the higher radix structure. For the addition of two n-bit numbers, our adder uses [Formula: see text] qubits and [Formula: see text] T gates to get the correct answer in T-depth [Formula: see text], where r is the radix. Quantum carry-lookahead adder has already attracted some attention because of its low T-depth. Our work further reduces the overall cost by introducing a higher radix layer. By analyzing the performance in T-depth, T-count, and qubit count, it is shown that the proposed adder is superior to existing quantum carry-lookahead adders. Even compared to the Draper out-of-place adder which is very compact and efficient, our adder is still better in terms of T-count.
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Affiliation(s)
- Siyi Wang
- School of Computer Science and Engineering, Nanyang Technological University, Singapore, 639798, Singapore.
| | - Anubhab Baksi
- School of Computer Science and Engineering, Nanyang Technological University, Singapore, 639798, Singapore
| | - Anupam Chattopadhyay
- School of Computer Science and Engineering, Nanyang Technological University, Singapore, 639798, Singapore
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88
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Chen S, Cotler J, Huang HY, Li J. The complexity of NISQ. Nat Commun 2023; 14:6001. [PMID: 37752125 PMCID: PMC10522708 DOI: 10.1038/s41467-023-41217-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/19/2023] [Accepted: 08/25/2023] [Indexed: 09/28/2023] Open
Abstract
The recent proliferation of NISQ devices has made it imperative to understand their power. In this work, we define and study the complexity class NISQ, which encapsulates problems that can be efficiently solved by a classical computer with access to noisy quantum circuits. We establish super-polynomial separations in the complexity among classical computation, NISQ, and fault-tolerant quantum computation to solve some problems based on modifications of Simon's problems. We then consider the power of NISQ for three well-studied problems. For unstructured search, we prove that NISQ cannot achieve a Grover-like quadratic speedup over classical computers. For the Bernstein-Vazirani problem, we show that NISQ only needs a number of queries logarithmic in what is required for classical computers. Finally, for a quantum state learning problem, we prove that NISQ is exponentially weaker than classical computers with access to noiseless constant-depth quantum circuits.
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Affiliation(s)
- Sitan Chen
- Department of Electrical Engineering and Computer Science, University of California, Berkeley, Berkeley, CA, USA.
- John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, USA.
| | - Jordan Cotler
- Society of Fellows, Harvard University, Cambridge, MA, USA.
| | - Hsin-Yuan Huang
- Institute for Quantum Information and Matter, CAltech, Pasadena, CA, USA.
- Department of Computing and Mathematical Sciences, CAltech, Pasadena, CA, USA.
| | - Jerry Li
- Microsoft Research AI, Redmond, WA, USA.
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89
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Abstract
The full realization of spin qubits for quantum technologies relies on the ability to control and design the formation processes of spin defects in semiconductors and insulators. We present a computational protocol to investigate the synthesis of point-defects at the atomistic level, and we apply it to the study of a promising spin-qubit in silicon carbide, the divacancy (VV). Our strategy combines electronic structure calculations based on density functional theory and enhanced sampling techniques coupled with first principles molecular dynamics. We predict the optimal annealing temperatures for the formation of VVs at high temperature and show how to engineer the Fermi level of the material to optimize the defect's yield for several polytypes of silicon carbide. Our results are in excellent agreement with available experimental data and provide novel atomistic insights into point defect formation and annihilation processes as a function of temperature.
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Affiliation(s)
- Cunzhi Zhang
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL, USA
| | - Francois Gygi
- Department of Computer Science, University of California Davis, Davis, CA, USA
| | - Giulia Galli
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL, USA.
- Department of Chemistry, University of Chicago, Chicago, IL, USA.
- Materials Science Division and Center for Molecular Engineering, Argonne National Laboratory, Lemont, IL, USA.
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90
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Gu Y, Zhuang WF, Chai X, Liu DE. Benchmarking universal quantum gates via channel spectrum. Nat Commun 2023; 14:5880. [PMID: 37735170 PMCID: PMC10514318 DOI: 10.1038/s41467-023-41598-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/11/2023] [Accepted: 09/12/2023] [Indexed: 09/23/2023] Open
Abstract
Noise remains the major obstacle to scalable quantum computation. Quantum benchmarking provides key information on noise properties and is an important step for developing more advanced quantum processors. However, current benchmarking methods are either limited to a specific subset of quantum gates or cannot directly describe the performance of the individual target gate. To overcome these limitations, we propose channel spectrum benchmarking (CSB), a method to infer the noise properties of the target gate, including process fidelity, stochastic fidelity, and some unitary parameters, from the eigenvalues of its noisy channel. Our CSB method is insensitive to state-preparation and measurement errors, and importantly, can benchmark universal gates and is scalable to many-qubit systems. Unlike standard randomized schemes, CSB can provide direct noise information for both target native gates and circuit fragments, allowing benchmarking and calibration of global entangling gates and frequently used modules in quantum algorithms like Trotterized Hamiltonian evolution operator in quantum simulation.
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Affiliation(s)
- Yanwu Gu
- Beijing Academy of Quantum Information Sciences, Beijing, 100193, China.
- State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.
| | - Wei-Feng Zhuang
- Beijing Academy of Quantum Information Sciences, Beijing, 100193, China
| | - Xudan Chai
- Beijing Academy of Quantum Information Sciences, Beijing, 100193, China
- State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China
| | - Dong E Liu
- Beijing Academy of Quantum Information Sciences, Beijing, 100193, China.
- State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, China.
- Frontier Science Center for Quantum Information, Beijing, 100184, China.
- Hefei National Laboratory, Hefei, 230088, China.
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91
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van der Lugt T, Barrett J, Chiribella G. Device-independent certification of indefinite causal order in the quantum switch. Nat Commun 2023; 14:5811. [PMID: 37726274 PMCID: PMC10509257 DOI: 10.1038/s41467-023-40162-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/01/2022] [Accepted: 07/14/2023] [Indexed: 09/21/2023] Open
Abstract
Quantum theory is compatible with scenarios in which the order of operations is indefinite. Experimental investigations of such scenarios, all of which have been based on a process known as the quantum switch, have provided demonstrations of indefinite causal order conditioned on assumptions on the devices used in the laboratory. But is a device-independent certification possible, similar to the certification of Bell nonlocality through the violation of Bell inequalities? Previous results have shown that the answer is negative if the switch is considered in isolation. Here, however, we present an inequality that can be used to device-independently certify indefinite causal order in the quantum switch in the presence of an additional spacelike-separated observer under an assumption asserting the impossibility of superluminal and retrocausal influences.
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Affiliation(s)
- Tein van der Lugt
- Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford, OX1 3QD, United Kingdom.
| | - Jonathan Barrett
- Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford, OX1 3QD, United Kingdom
- Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada
| | - Giulio Chiribella
- Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford, OX1 3QD, United Kingdom.
- Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada.
- QICI Quantum Information and Computation Initiative, Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong, Hong Kong.
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92
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Mackeprang J, Bhatti D, Barz S. Non-adaptive measurement-based quantum computation on IBM Q. Sci Rep 2023; 13:15428. [PMID: 37723342 PMCID: PMC10507095 DOI: 10.1038/s41598-023-41025-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/06/2023] [Accepted: 08/21/2023] [Indexed: 09/20/2023] Open
Abstract
We test the quantumness of IBM's quantum computer IBM Quantum System One in Ehningen, Germany. We generate generalised n-qubit GHZ states and measure Bell inequalities to investigate the n-party entanglement of the GHZ states. The implemented Bell inequalities are derived from non-adaptive measurement-based quantum computation (NMQC), a type of quantum computing that links the successful computation of a non-linear function to the violation of a multipartite Bell-inequality. The goal is to compute a multivariate Boolean function that clearly differentiates non-local correlations from local hidden variables (LHVs). Since it has been shown that LHVs can only compute linear functions, whereas quantum correlations are capable of outputting every possible Boolean function it thus serves as an indicator of multipartite entanglement. Here, we compute various non-linear functions with NMQC on IBM's quantum computer IBM Quantum System One and thereby demonstrate that the presented method can be used to characterize quantum devices. We find a violation for a maximum of seven qubits and compare our results to an existing implementation of NMQC using photons.
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Affiliation(s)
- Jelena Mackeprang
- Institute for Functional Matter and Quantum Technologies, University of Stuttgart, 70569, Stuttgart, Germany
- Center for Integrated Quantum Science and Technology (IQST), University of Stuttgart, 70569, Stuttgart, Germany
- QuSoft and Centrum Wiskunde & Informatica (CWI), Science Park 123, 1098 XG, Amsterdam, The Netherlands
| | - Daniel Bhatti
- Institute for Functional Matter and Quantum Technologies, University of Stuttgart, 70569, Stuttgart, Germany
- Center for Integrated Quantum Science and Technology (IQST), University of Stuttgart, 70569, Stuttgart, Germany
| | - Stefanie Barz
- Institute for Functional Matter and Quantum Technologies, University of Stuttgart, 70569, Stuttgart, Germany.
- Center for Integrated Quantum Science and Technology (IQST), University of Stuttgart, 70569, Stuttgart, Germany.
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93
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Lu Y, Maiti A, Garmon JWO, Ganjam S, Zhang Y, Claes J, Frunzio L, Girvin SM, Schoelkopf RJ. High-fidelity parametric beamsplitting with a parity-protected converter. Nat Commun 2023; 14:5767. [PMID: 37723141 PMCID: PMC10507116 DOI: 10.1038/s41467-023-41104-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/07/2023] [Accepted: 08/23/2023] [Indexed: 09/20/2023] Open
Abstract
Fast, high-fidelity operations between microwave resonators are an important tool for bosonic quantum computation and simulation with superconducting circuits. An attractive approach for implementing these operations is to couple these resonators via a nonlinear converter and actuate parametric processes with RF drives. It can be challenging to make these processes simultaneously fast and high fidelity, since this requires introducing strong drives without activating parasitic processes or introducing additional decoherence channels. We show that in addition to a careful management of drive frequencies and the spectrum of environmental noise, leveraging the inbuilt symmetries of the converter Hamiltonian can suppress unwanted nonlinear interactions, preventing converter-induced decoherence. We demonstrate these principles using a differentially-driven DC-SQUID as our converter, coupled to two high-Q microwave cavities. Using this architecture, we engineer a highly-coherent beamsplitter and fast (~100 ns) swaps between the cavities, limited primarily by their intrinsic single-photon loss. We characterize this beamsplitter in the cavities' joint single-photon subspace, and show that we can detect and post-select photon loss events to achieve a beamsplitter gate fidelity exceeding 99.98%, which to our knowledge far surpasses the current state of the art.
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Affiliation(s)
- Yao Lu
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA.
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA.
| | - Aniket Maiti
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA.
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA.
| | - John W O Garmon
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Suhas Ganjam
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Yaxing Zhang
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Jahan Claes
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Luigi Frunzio
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Steven M Girvin
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Robert J Schoelkopf
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA.
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA.
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94
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Timoshuk I, Tikhonov K, Makhlin Y. Quantum computation at the edge of a disordered Kitaev honeycomb lattice. Sci Rep 2023; 13:15263. [PMID: 37709834 PMCID: PMC10502100 DOI: 10.1038/s41598-023-41997-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2023] [Accepted: 09/04/2023] [Indexed: 09/16/2023] Open
Abstract
We analyze propagation of quantum information along chiral Majorana edge states in two-dimensional topological materials. The use of edge states may facilitate the braiding operation, an important ingredient in topological quantum computations. For the edge of the Kitaev honeycomb model in a topological phase, we discuss how the edge states can participate in quantum-information processing, and consider a two-qubit logic gate between distant external qubits coupled to the edge. Here we analyze the influence of disorder and noise on properties of the edge states and quantum-gate fidelity. We find that realistically weak disorder does not prevent one from implementation of a high-fidelity operation via the edge.
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Affiliation(s)
- Igor Timoshuk
- Condensed-Matter Physics Laboratory, HSE University, 101000, Moscow, Russia
| | - Konstantin Tikhonov
- L. D. Landau Institute for Theoretical Physics, 142432, Chernogolovka, Russia
| | - Yuriy Makhlin
- Condensed-Matter Physics Laboratory, HSE University, 101000, Moscow, Russia.
- L. D. Landau Institute for Theoretical Physics, 142432, Chernogolovka, Russia.
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95
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Golter DA, Clark G, El Dandachi T, Krastanov S, Leenheer AJ, Wan NH, Raniwala H, Zimmermann M, Dong M, Chen KC, Li L, Eichenfield M, Gilbert G, Englund D. Selective and Scalable Control of Spin Quantum Memories in a Photonic Circuit. Nano Lett 2023; 23:7852-7858. [PMID: 37643457 PMCID: PMC10510697 DOI: 10.1021/acs.nanolett.3c01511] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/21/2023] [Revised: 07/07/2023] [Indexed: 08/31/2023]
Abstract
A central goal in many quantum information processing applications is a network of quantum memories that can be entangled with each other while being individually controlled and measured with high fidelity. This goal has motivated the development of programmable photonic integrated circuits (PICs) with integrated spin quantum memories using diamond color center spin-photon interfaces. However, this approach introduces a challenge into the microwave control of individual spins within closely packed registers. Here, we present a quantum memory-integrated photonics platform capable of (i) the integration of multiple diamond color center spins into a cryogenically compatible, high-speed programmable PIC platform, (ii) selective manipulation of individual spin qubits addressed via tunable magnetic field gradients, and (iii) simultaneous control of qubits using numerically optimized microwave pulse shaping. The combination of localized optical control, enabled by the PIC platform, together with selective spin manipulation opens the path to scalable quantum networks on intrachip and interchip platforms.
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Affiliation(s)
- D. Andrew Golter
- The
MITRE Corporation, 202 Burlington Road, Bedford, Massachusetts 01730, United States
| | - Genevieve Clark
- The
MITRE Corporation, 202 Burlington Road, Bedford, Massachusetts 01730, United States
- Research
Laboratory of Electronics, Massachusetts
Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Tareq El Dandachi
- Research
Laboratory of Electronics, Massachusetts
Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Stefan Krastanov
- Research
Laboratory of Electronics, Massachusetts
Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Andrew J. Leenheer
- Sandia
National Laboratories, P.O. Box 5800, Albuquerque, New Mexico 87185, United States
| | - Noel H. Wan
- Research
Laboratory of Electronics, Massachusetts
Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Hamza Raniwala
- Research
Laboratory of Electronics, Massachusetts
Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Matthew Zimmermann
- The
MITRE Corporation, 202 Burlington Road, Bedford, Massachusetts 01730, United States
| | - Mark Dong
- The
MITRE Corporation, 202 Burlington Road, Bedford, Massachusetts 01730, United States
- Research
Laboratory of Electronics, Massachusetts
Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Kevin C. Chen
- Research
Laboratory of Electronics, Massachusetts
Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Linsen Li
- Research
Laboratory of Electronics, Massachusetts
Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Matt Eichenfield
- Sandia
National Laboratories, P.O. Box 5800, Albuquerque, New Mexico 87185, United States
- College
of Optical Sciences, University of Arizona, Tucson, Arizona 85719, United States
| | - Gerald Gilbert
- The
MITRE Corporation, 200
Forrestal Road, Princeton, New Jersey 08540, United States
| | - Dirk Englund
- Research
Laboratory of Electronics, Massachusetts
Institute of Technology, Cambridge, Massachusetts 02139, United States
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96
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Zahia AA, Abd-Rabbou MY, Megahed AM, Obada ASF. Bidirectional field-steering and atomic steering induced by a magnon mode in a qubit-photon system. Sci Rep 2023; 13:14943. [PMID: 37696940 PMCID: PMC10495356 DOI: 10.1038/s41598-023-41907-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/15/2023] [Accepted: 09/01/2023] [Indexed: 09/13/2023] Open
Abstract
This paper investigates the cavity-magnon steering and qubit-qubit steering of a hybrid quantum system consisting of a single-mode magnon, a two-qubit state, and a single-mode cavity field in the presence of their damping rates. The temporal wave vector of the system is obtained for the initial maximally entangled two-qubit state and initial vacuum state of the magnon and cavity modes. Additionally, the mathematical inequalities for obtaining the cavity-magnon steering and qubit-qubit steering are introduced. The findings reveal that steering between the magnon and cavity is asymmetric, while steering between the two qubits is symmetric in our system. Increasing the atom-field coupling improves steering from magnon to field, while reducing steering between the two qubits. Moreover, increasing magnon-field coupling enhances and elevates the lower bounds of qubit-qubit steering. Further, adding the damping rates causes deterioration of the cavity-magnon steering and qubit-qubit steering. However, the steering persistence is slightly greater when damping originates from the cavity field rather than the magnon modes based on the coupling parameters.
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Affiliation(s)
- Ahmed A Zahia
- Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
| | - M Y Abd-Rabbou
- Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt.
| | - Ahmed M Megahed
- Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
| | - A-S F Obada
- Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt
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97
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Stottmeister A, Osborne TJ. On the renormalization group fixed point of the two-dimensional Ising model at criticality. Sci Rep 2023; 13:14859. [PMID: 37684323 PMCID: PMC10491843 DOI: 10.1038/s41598-023-42005-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/23/2023] [Accepted: 09/04/2023] [Indexed: 09/10/2023] Open
Abstract
We analyze the renormalization group fixed point of the two-dimensional Ising model at criticality. In contrast with expectations from tensor network renormalization (TNR), we show that a simple, explicit analytic description of this fixed point using operator-algebraic renormalization (OAR) is possible. Specifically, the fixed point is characterized in terms of spin-spin correlation functions. Explicit error bounds for the approximation of continuum correlation functions are given.
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Affiliation(s)
- Alexander Stottmeister
- Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstr. 2, 30167, Hannover, Germany.
| | - Tobias J Osborne
- Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstr. 2, 30167, Hannover, Germany
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98
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Li X. Optimal control of quantum state preparation and entanglement creation in two-qubit quantum system with bounded amplitude. Sci Rep 2023; 13:14734. [PMID: 37679384 PMCID: PMC10484962 DOI: 10.1038/s41598-023-41688-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/29/2023] [Accepted: 08/30/2023] [Indexed: 09/09/2023] Open
Abstract
We consider the optimal control problem in a two-qubit system with bounded amplitude. Two cases are studied: quantum state preparation and entanglement creation. Cost functions, fidelity and concurrence, are optimized over bang-off controls for various values of the total duration, respectively. For quantum state preparation problem, three critical time points are determined accurately, and optimal controls are estimated. A better estimation of the quantum speed limit is obtained, so is the time-optimal control. For entanglement creation problem, two critical time points are determined, one of them is the minimal time to achieve maximal entanglement (unit concurrence) starting from the product state. In addition, the comparisons between bang-off and chopped random basis (CRAB) are made.
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Affiliation(s)
- Xikun Li
- School of Physics and Optoelectronic Engineering, Anhui University, Hefei, 230601, China.
- Max-Planck-Institut für Physik komplexer Systeme, 01187, Dresden, Germany.
- Department of Physics and Astronomy, Aarhus University, 8000, Aarhus, Denmark.
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99
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Shiratori H, Shinkawa H, Röhm A, Chauvet N, Segawa E, Laurent J, Bachelier G, Yamagami T, Horisaki R, Naruse M. Asymmetric quantum decision-making. Sci Rep 2023; 13:14636. [PMID: 37670023 PMCID: PMC10480193 DOI: 10.1038/s41598-023-41715-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/31/2023] [Accepted: 08/30/2023] [Indexed: 09/07/2023] Open
Abstract
Collective decision-making plays a crucial role in information and communication systems. However, decision conflicts among agents often impede the maximization of potential utilities within the system. Quantum processes have shown promise in achieving conflict-free joint decisions between two agents through the entanglement of photons or the quantum interference of orbital angular momentum (OAM). Nonetheless, previous studies have shown symmetric resultant joint decisions, which, while preserving equality, fail to address disparities. In light of global challenges such as ethics and equity, it is imperative for decision-making systems to not only maintain existing equality but also address and resolve disparities. In this study, we investigate asymmetric collective decision-making theoretically and numerically using quantum interference of photons carrying OAM or entangled photons. We successfully demonstrate the realization of asymmetry; however, it should be noted that a certain degree of photon loss is inevitable in the proposed models. We also provide an analytical formulation for determining the available range of asymmetry and describe a method for obtaining the desired degree of asymmetry.
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Affiliation(s)
- Honoka Shiratori
- Department of Information Physics and Computing, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, 113-8656, Japan.
| | - Hiroaki Shinkawa
- Department of Information Physics and Computing, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, 113-8656, Japan
| | - André Röhm
- Department of Information Physics and Computing, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, 113-8656, Japan
| | - Nicolas Chauvet
- Department of Information Physics and Computing, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, 113-8656, Japan
| | - Etsuo Segawa
- Graduate School of Environment and Information Sciences, Yokohama National University, 79-1 Tokiwadai, Hodogaya, Yokohama, Kanagawa, 240-8501, Japan
| | - Jonathan Laurent
- CNRS, Institut Néel, Université Grenoble Alpes, Grenoble, 38042, France
| | | | - Tomoki Yamagami
- Department of Information Physics and Computing, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, 113-8656, Japan
| | - Ryoichi Horisaki
- Department of Information Physics and Computing, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, 113-8656, Japan
| | - Makoto Naruse
- Department of Information Physics and Computing, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, 113-8656, Japan
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100
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Jun K. A highly accurate quantum optimization algorithm for CT image reconstruction based on sinogram patterns. Sci Rep 2023; 13:14407. [PMID: 37658158 PMCID: PMC10474150 DOI: 10.1038/s41598-023-41700-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/23/2023] [Accepted: 08/30/2023] [Indexed: 09/03/2023] Open
Abstract
Computed tomography (CT) has been developed as a nondestructive technique for observing minute internal images in samples. It has been difficult to obtain photorealistic (clean or clear) CT images due to various unwanted artifacts generated during the CT scanning process, along with the limitations of back-projection algorithms. Recently, an iterative optimization algorithm has been developed that uses an entire sinogram to reduce errors caused by artifacts. In this paper, we introduce a new quantum algorithm for reconstructing CT images. This algorithm can be used with any type of light source as long as the projection is defined. Assuming an experimental sinogram produced by a Radon transform, to find the CT image of this sinogram, we express the CT image as a combination of qubits. After acquiring the Radon transform of the undetermined CT image, we combine the actual sinogram and the optimized qubits. The global energy optimization value used here can determine the value of qubits through a gate model quantum computer or quantum annealer. In particular, the new algorithm can also be used for cone-beam CT image reconstruction and for medical imaging.
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