1
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Li S, Ni Z, Zhang L, Cai Y, Mai J, Wen S, Zheng P, Deng X, Liu S, Xu Y, Yu D. Autonomous Stabilization of Fock States in an Oscillator against Multiphoton Losses. PHYSICAL REVIEW LETTERS 2024; 132:203602. [PMID: 38829095 DOI: 10.1103/physrevlett.132.203602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/16/2023] [Accepted: 04/23/2024] [Indexed: 06/05/2024]
Abstract
Fock states with a well-defined number of photons in an oscillator have shown a wide range of applications in quantum information science. Nonetheless, their usefulness has been marred by single and multiphoton losses due to unavoidable environment-induced dissipation. Though several dissipation engineering methods have been developed to counteract the leading single-photon-loss error, averting multiple-photon losses remains elusive. Here, we experimentally demonstrate a dissipation engineering method that autonomously stabilizes multiphoton Fock states against losses of multiple photons using a cascaded selective photon-addition operation in a superconducting quantum circuit. Through measuring the photon-number populations and Wigner tomography of the oscillator states, we observe a prolonged preservation of nonclassical Wigner negativities for the stabilized Fock states |N⟩ with N=1, 2, 3 for a duration of about 10 ms. Furthermore, the dissipation engineering method demonstrated here also facilitates the implementation of a nonunitary operation for resetting a binomially encoded logical qubit. These results highlight potential applications in error-correctable quantum information processing against multiple-photon-loss errors.
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Affiliation(s)
- Sai Li
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
| | - Zhongchu Ni
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China
| | - Libo Zhang
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
| | - Yanyan Cai
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
| | - Jiasheng Mai
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
| | - Shengcheng Wen
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
| | - Pan Zheng
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
| | - Xiaowei Deng
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
| | - Song Liu
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- Shenzhen Branch, Hefei National Laboratory, Shenzhen 518048, China
| | - Yuan Xu
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- Shenzhen Branch, Hefei National Laboratory, Shenzhen 518048, China
| | - Dapeng Yu
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- International Quantum Academy, Shenzhen 518048, China
- Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
- Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China
- Shenzhen Branch, Hefei National Laboratory, Shenzhen 518048, China
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2
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Grebel J, Yan H, Chou MH, Andersson G, Conner CR, Joshi YJ, Miller JM, Povey RG, Qiao H, Wu X, Cleland AN. Bidirectional Multiphoton Communication between Remote Superconducting Nodes. PHYSICAL REVIEW LETTERS 2024; 132:047001. [PMID: 38335327 DOI: 10.1103/physrevlett.132.047001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/23/2023] [Accepted: 12/11/2023] [Indexed: 02/12/2024]
Abstract
Quantum communication test beds provide a useful resource for experimentally investigating a variety of communication protocols. Here we demonstrate a superconducting circuit test bed with bidirectional multiphoton state transfer capability using time-domain shaped wave packets. The system we use to achieve this comprises two remote nodes, each including a tunable superconducting transmon qubit and a tunable microwave-frequency resonator, linked by a 2 m-long superconducting coplanar waveguide, which serves as a transmission line. We transfer both individual and superposition Fock states between the two remote nodes, and additionally show that this bidirectional state transfer can be done simultaneously, as well as being used to entangle elements in the two nodes.
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Affiliation(s)
- Joel Grebel
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
| | - Haoxiong Yan
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
| | - Ming-Han Chou
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
| | - Gustav Andersson
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
| | - Christopher R Conner
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
| | - Yash J Joshi
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
| | - Jacob M Miller
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
| | - Rhys G Povey
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
| | - Hong Qiao
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
| | - Xuntao Wu
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
| | - Andrew N Cleland
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
- Center for Molecular Engineering, Argonne National Laboratory, Lemont, Illinois 60439, USA
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3
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Kang YH, Lin ZP, Yang JQ, Wang Y, Song J, Yang ZB, Xia Y. Effective protocol for generating NOON states of resonator modes. OPTICS EXPRESS 2023; 31:42976-42994. [PMID: 38178402 DOI: 10.1364/oe.498836] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/26/2023] [Accepted: 11/21/2023] [Indexed: 01/06/2024]
Abstract
We propose a protocol for the generation of NOON states of resonator modes. The physical model is composed of two Kerr-nonlinear resonators and a four-level qudit. Using the off-resonant couplings between the resonators and the qudit, qudit-level-dependent frequency shifts on the two resonators are induced. The frequency shifts allow us to drive different resonators to the N-photon state when the qudit is in different intermediate levels. Consequently, the generation of NOON states with arbitrary photon number N can be completed in only three steps, i.e., driving the qudit to a superposition state of the two intermediate levels, driving one of the resonators to its N-photon state, and driving the qudit back to its ground level. Numerical simulations show that, in the regime of strong Kerr nonlinearity and coupling strengths, the protocol can produce the NOON state with high fidelity in the cases of different photon numbers. In addition, it is possible for the protocol to produce acceptable fidelity in the presence of systematic errors and decoherence factors. Therefore, the protocol may provide some useful perspectives for effective generation of photonic NOON states.
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4
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Amazioug M, Singh S, Teklu B, Asjad M. Feedback Control of Quantum Correlations in a Cavity Magnomechanical System with Magnon Squeezing. ENTROPY (BASEL, SWITZERLAND) 2023; 25:1462. [PMID: 37895583 PMCID: PMC10606175 DOI: 10.3390/e25101462] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/18/2023] [Revised: 07/23/2023] [Accepted: 10/16/2023] [Indexed: 10/29/2023]
Abstract
We suggest a method to improve quantum correlations in cavity magnomechanics, through the use of a coherent feedback loop and magnon squeezing. The entanglement of three bipartition subsystems: photon-phonon, photon-magnon, and phonon-magnon, is significantly improved by the coherent feedback-control method that has been proposed. In addition, we investigate Einstein-Podolsky-Rosen steering under thermal effects in each of the subsystems. We also evaluate the scheme's performance and sensitivity to magnon squeezing. Furthermore, we study the comparison between entanglement and Gaussian quantum discord in both steady and dynamical states.
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Affiliation(s)
- Mohamed Amazioug
- LPTHE-Department of Physics, Faculty of Sciences, Ibnou Zohr University, Agadir 80000, Morocco;
| | - Shailendra Singh
- Process Systems Engineering Centre (PROSPECT), Research Institute of Sustainable Environment (RISE), Universiti Teknologi Malaysia, Johor Bahru 81310, Johor, Malaysia;
| | - Berihu Teklu
- Department of Applied Mathematics and Sciences, Khalifa University, Abu Dhabi 127788, United Arab Emirates;
- Center for Cyber-Physical Systems (C2PS), Khalifa University, Abu Dhabi 127788, United Arab Emirates
| | - Muhammad Asjad
- Department of Applied Mathematics and Sciences, Khalifa University, Abu Dhabi 127788, United Arab Emirates;
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5
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Yan WB, Man ZX, Zhang YJ, Fan H, Xia YJ. All-optical control of thermal conduction in waveguide quantum electrodynamics. OPTICS LETTERS 2023; 48:823-826. [PMID: 36723598 DOI: 10.1364/ol.481259] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/16/2022] [Accepted: 01/03/2023] [Indexed: 06/18/2023]
Abstract
We investigate the heat conduction between two one-dimensional waveguides intermediated by a laser-driving atom. The laser provides the optical control of the heat conduction. The tunable asymmetric conduction of the heat against the temperature gradient is realized. Assisted by the modulated laser, the heat conduction from either waveguide to the other waveguide can be suppressed. The heat currents can be significantly amplified by the energy flow of the laser.
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6
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Jia Z, Wang Y, Zhang B, Whitlow J, Fang C, Kim J, Brown KR. Determination of Multimode Motional Quantum States in a Trapped Ion System. PHYSICAL REVIEW LETTERS 2022; 129:103602. [PMID: 36112437 DOI: 10.1103/physrevlett.129.103602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2022] [Revised: 08/12/2022] [Accepted: 08/15/2022] [Indexed: 06/15/2023]
Abstract
Trapped atomic ions are a versatile platform for studying interactions between spins and bosons by coupling the internal states of the ions to their motion. Measurement of complex motional states with multiple modes is challenging, because all motional state populations can only be measured indirectly through the spin state of ions. Here we present a general method to determine the Fock state distributions and to reconstruct the density matrix of an arbitrary multimode motional state. We experimentally verify the method using different entangled states of multiple radial modes in a five-ion chain. This method can be extended to any system with Jaynes-Cummings-type interactions.
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Affiliation(s)
- Zhubing Jia
- Duke Quantum Center, Duke University, Durham, North Carolina 27701, USA
- Department of Physics, Duke University, Durham, North Carolina 27708, USA
| | - Ye Wang
- Duke Quantum Center, Duke University, Durham, North Carolina 27701, USA
- Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
| | - Bichen Zhang
- Duke Quantum Center, Duke University, Durham, North Carolina 27701, USA
- Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
| | - Jacob Whitlow
- Duke Quantum Center, Duke University, Durham, North Carolina 27701, USA
- Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
| | - Chao Fang
- Duke Quantum Center, Duke University, Durham, North Carolina 27701, USA
- Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
| | - Jungsang Kim
- Duke Quantum Center, Duke University, Durham, North Carolina 27701, USA
- Department of Physics, Duke University, Durham, North Carolina 27708, USA
- Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
- IonQ, Inc., College Park, Maryland 20740, USA
| | - Kenneth R Brown
- Duke Quantum Center, Duke University, Durham, North Carolina 27701, USA
- Department of Physics, Duke University, Durham, North Carolina 27708, USA
- Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
- Department of Chemistry, Duke University, Durham, North Carolina 27708, USA
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7
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Ma Y, Pan X, Cai W, Mu X, Xu Y, Hu L, Wang W, Wang H, Song YP, Yang ZB, Zheng SB, Sun L. Manipulating Complex Hybrid Entanglement and Testing Multipartite Bell Inequalities in a Superconducting Circuit. PHYSICAL REVIEW LETTERS 2020; 125:180503. [PMID: 33196232 DOI: 10.1103/physrevlett.125.180503] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/16/2020] [Accepted: 09/23/2020] [Indexed: 06/11/2023]
Abstract
Quantum correlations in observables of multiple systems not only are of fundamental interest, but also play a key role in quantum information processing. As a signature of these correlations, the violation of Bell inequalities has not been demonstrated with multipartite hybrid entanglement involving both continuous and discrete variables. Here we create a five-partite entangled state with three superconducting transmon qubits and two photonic qubits, each encoded in the mesoscopic field of a microwave cavity. We reveal the quantum correlations among these distinct elements by joint Wigner tomography of the two cavity fields conditional on the detection of the qubits and by test of a five-partite Bell inequality. The measured Bell signal is 8.381±0.038, surpassing the bound of 8 for a four-partite entanglement imposed by quantum correlations by 10 standard deviations, demonstrating the genuine five-partite entanglement in a hybrid quantum system.
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Affiliation(s)
- Y Ma
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
| | - X Pan
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
| | - W Cai
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
| | - X Mu
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
| | - Y Xu
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
| | - L Hu
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
| | - W Wang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
| | - H Wang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
| | - Y P Song
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
| | - Zhen-Biao Yang
- Fujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University, Fuzhou, Fujian 350108, China
| | - Shi-Biao Zheng
- Fujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University, Fuzhou, Fujian 350108, China
| | - L Sun
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, China
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8
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9
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Du H, Zhang X, Littlejohns CG, Tran DT, Yan X, Banakar M, Wei C, Thomson DJ, Reed GT. Nonconservative Coupling in a Passive Silicon Microring Resonator. PHYSICAL REVIEW LETTERS 2020; 124:013606. [PMID: 31976699 DOI: 10.1103/physrevlett.124.013606] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/25/2019] [Indexed: 06/10/2023]
Abstract
The authors report on nonconservative coupling in a passive silicon microring between its clockwise and counterclockwise resonance modes. The coupling coefficient is adjustable using a thermo-optic phase shifter. The resulting resonance of the supermodes due to nonconservative coupling is predicted in theory and demonstrated in experiments. This Letter paves the way for fundamental studies of on-chip lasers and quantum photonics, and their potential applications.
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Affiliation(s)
- H Du
- Optoelectronics Research Centre, University of Southampton, Southampton SO17 1BJ, United Kingdom
| | - X Zhang
- Department of Electrical Engineering, Pennsylvania State University, University Park, Pennsylvania 16802, USA
| | - C G Littlejohns
- Optoelectronics Research Centre, University of Southampton, Southampton SO17 1BJ, United Kingdom
- Silicon Technologies Centre of Excellence, Nanyang Technological University, 639798 Singapore
| | - D T Tran
- Optoelectronics Research Centre, University of Southampton, Southampton SO17 1BJ, United Kingdom
| | - X Yan
- Optoelectronics Research Centre, University of Southampton, Southampton SO17 1BJ, United Kingdom
| | - M Banakar
- Optoelectronics Research Centre, University of Southampton, Southampton SO17 1BJ, United Kingdom
| | - C Wei
- Optoelectronics Research Centre, University of Southampton, Southampton SO17 1BJ, United Kingdom
| | - D J Thomson
- Optoelectronics Research Centre, University of Southampton, Southampton SO17 1BJ, United Kingdom
| | - G T Reed
- Optoelectronics Research Centre, University of Southampton, Southampton SO17 1BJ, United Kingdom
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11
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Liu T, Zhang Y, Guo BQ, Yu CS, Zhang WN. Creation of superposition of arbitrary states encoded in two high-Q cavities. OPTICS EXPRESS 2019; 27:27168-27182. [PMID: 31674583 DOI: 10.1364/oe.27.027168] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/04/2019] [Accepted: 08/18/2019] [Indexed: 06/10/2023]
Abstract
The principle of superposition is a key ingredient for quantum mechanics. A recent work [Phys. Rev. Lett.116, 110403 (2016)10.1103/PhysRevLett.116.110403] has shown that a quantum adder that deterministically generates a superposition of two unknown states is forbidden. Here we consider the implementation of the probabilistic quantum adder in the 3D cavity-transmon system. Our implementation is based on a three-level superconducting transmon qubit dispersively coupled to two cavities. Numerical simulations show that high-fidelity generation of the superposition of two coherent states is feasible with current circuit QED technology. Our method also works for other physical systems such as two optical cavities coupled to a three-level atom or two nitrogen-vacancy center ensembles interacted with one three-level superconducting flux qubit.
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12
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Parity-Assisted Generation of Nonclassical States of Light in Circuit Quantum Electrodynamics. Symmetry (Basel) 2019. [DOI: 10.3390/sym11030372] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
We propose a method to generate nonclassical states of light in multimode microwave cavities. Our approach considers two-photon processes that take place in a system composed of N extended cavities and an ultrastrongly coupled light–matter system. Under specific resonance conditions, our method generates, in a deterministic manner, product states of uncorrelated photon pairs, Bell states, and W states in different modes on the extended cavities. Furthermore, the numerical simulations show that the generation scheme exhibits a collective effect which decreases the generation time in the same proportion as the number of extended cavity increases. Moreover, the entanglement encoded in the photonic states can be transferred towards ancillary two-level systems to generate genuine multipartite entanglement. Finally, we discuss the feasibility of our proposal in circuit quantum electrodynamics. This proposal could be of interest in the context of quantum random number generator, due to the quadratic scaling of the output state.
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13
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Ye B, Zheng ZF, Zhang Y, Yang CP. Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling n - 1 microwave photonic qubits. OPTICS EXPRESS 2018; 26:30689-30702. [PMID: 30469962 DOI: 10.1364/oe.26.030689] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/07/2018] [Accepted: 10/25/2018] [Indexed: 06/09/2023]
Abstract
We present a novel method to realize a multi-target-qubit controlled phase gate with one microwave photonic qubit simultaneously controlling n - 1 target microwave photonic qubits. This gate is implemented with n microwave cavities coupled to a superconducting flux qutrit. Each cavity hosts a microwave photonic qubit, whose two logic states are represented by the vacuum state and the single photon state of a single cavity mode, respectively. During the gate operation, the qutrit remains in the ground state and thus decoherence from the qutrit is greatly suppressed. This proposal requires only a single-step operation and thus the gate implementation is quite simple. The gate operation time is independent of the number of the qubits. In addition, this proposal does not need applying classical pulse or any measurement. Numerical simulations demonstrate that high-fidelity realization of a controlled phase gate with one microwave photonic qubit simultaneously controlling two target microwave photonic qubits is feasible with current circuit QED technology. The proposal is quite general and can be applied to implement the proposed gate in a wide range of physical systems, such as multiple microwave or optical cavities coupled to a natural or artificial Λ-type three-level atom.
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14
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Zhang J, Um M, Lv D, Zhang JN, Duan LM, Kim K. NOON States of Nine Quantized Vibrations in Two Radial Modes of a Trapped Ion. PHYSICAL REVIEW LETTERS 2018; 121:160502. [PMID: 30387619 DOI: 10.1103/physrevlett.121.160502] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/12/2017] [Revised: 07/25/2018] [Indexed: 06/08/2023]
Abstract
We develop a deterministic method to generate and verify arbitrarily high NOON states of quantized vibrations (phonons), through the coupling to the internal state. We experimentally create the entangled states up to N=9 phonons in two vibrational modes of a single trapped ^{171}Yb^{+} ion. We observe an increasing phase sensitivity of the generated NOON state as the number of phonons N increases and obtain the fidelity from the contrast of the phase interference and the population of the phonon states through the two-mode projective measurement, which are significantly above the classical bound. We also measure the quantum Fisher information of the generated state and observe Heisenberg scaling in the lower bounds of phase sensitivity as N increases. Our scheme is generic and applicable to other photonic or phononic systems such as circuit QED systems or nanomechanical oscillators, which have Jaynes-Cummings-type of interactions.
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Affiliation(s)
- Junhua Zhang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, People's Republic of China
- Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen, 518055, People's Republic of China
- Department of Physics, Southern University of Science and Technology, Shenzhen, 518055, People's Republic of China
| | - Mark Um
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, People's Republic of China
| | - Dingshun Lv
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, People's Republic of China
| | - Jing-Ning Zhang
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, People's Republic of China
| | - Lu-Ming Duan
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, People's Republic of China
| | - Kihwan Kim
- Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, 100084, People's Republic of China
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15
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Liu T, Guo BQ, Yu CS, Zhang WN. One-step implementation of a hybrid Fredkin gate with quantum memories and single superconducting qubit in circuit QED and its applications. OPTICS EXPRESS 2018; 26:4498-4511. [PMID: 29475300 DOI: 10.1364/oe.26.004498] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/22/2017] [Accepted: 02/04/2018] [Indexed: 06/08/2023]
Abstract
In a recent remarkable experiment [Sci. Adv. 2, e1501531 (2016)], a 3-qubit quantum Fredkin (i.e., controlled-SWAP) gate was demonstrated by using linear optics. Here we propose a simple experimental scheme by utilizing the dispersive interaction in superconducting quantum circuit to implement a hybrid Fredkin gate with a superconducting flux qubit as the control qubit and two separated quantum memories as the target qudits. The quantum memories considered here are prepared by the superconducting coplanar waveguide resonators or nitrogen-vacancy center ensembles. In particular, it is shown that this Fredkin gate can be realized using a single-step operation and more importantly, each target qudit can be in an arbitrary state with arbitrary degrees of freedom. Furthermore, we show that this experimental scheme has many potential applications in quantum computation and quantum information processing such as generating arbitrary entangled states (discrete-variable states or continuous-variable states) of the two memories, measuring the fidelity and the entanglement between the two memories. With state-of-the-art circuit QED technology, the numerical simulation is performed to demonstrate that two-memory NOON states, entangled coherent states, and entangled cat states can be efficiently synthesized.
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16
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A CNOT gate between multiphoton qubits encoded in two cavities. Nat Commun 2018; 9:652. [PMID: 29440766 PMCID: PMC5811561 DOI: 10.1038/s41467-018-03059-5] [Citation(s) in RCA: 73] [Impact Index Per Article: 12.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/24/2017] [Accepted: 01/16/2018] [Indexed: 11/08/2022] Open
Abstract
Entangling gates between qubits are a crucial component for performing algorithms in quantum computers. However, any quantum algorithm must ultimately operate on error-protected logical qubits encoded in high-dimensional systems. Typically, logical qubits are encoded in multiple two-level systems, but entangling gates operating on such qubits are highly complex and have not yet been demonstrated. Here we realize a controlled NOT (CNOT) gate between two multiphoton qubits in two microwave cavities. In this approach, we encode a qubit in the high-dimensional space of a single cavity mode, rather than in multiple two-level systems. We couple two such encoded qubits together through a transmon, which is driven by an RF pump to apply the gate within 190 ns. This is two orders of magnitude shorter than the decoherence time of the transmon, enabling a high-fidelity gate operation. These results are an important step towards universal algorithms on error-corrected logical qubits.
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17
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Song C, Xu K, Liu W, Yang CP, Zheng SB, Deng H, Xie Q, Huang K, Guo Q, Zhang L, Zhang P, Xu D, Zheng D, Zhu X, Wang H, Chen YA, Lu CY, Han S, Pan JW. 10-Qubit Entanglement and Parallel Logic Operations with a Superconducting Circuit. PHYSICAL REVIEW LETTERS 2017; 119:180511. [PMID: 29219550 DOI: 10.1103/physrevlett.119.180511] [Citation(s) in RCA: 76] [Impact Index Per Article: 10.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/12/2017] [Indexed: 06/07/2023]
Abstract
Here we report on the production and tomography of genuinely entangled Greenberger-Horne-Zeilinger states with up to ten qubits connecting to a bus resonator in a superconducting circuit, where the resonator-mediated qubit-qubit interactions are used to controllably entangle multiple qubits and to operate on different pairs of qubits in parallel. The resulting 10-qubit density matrix is probed by quantum state tomography, with a fidelity of 0.668±0.025. Our results demonstrate the largest entanglement created so far in solid-state architectures and pave the way to large-scale quantum computation.
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Affiliation(s)
- Chao Song
- Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China
- CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Kai Xu
- Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China
- CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Wuxin Liu
- Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China
| | - Chui-Ping Yang
- Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
| | - Shi-Biao Zheng
- Fujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University, Fuzhou, Fujian 350116, China
| | - Hui Deng
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Qiwei Xie
- Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China
| | - Keqiang Huang
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
| | - Qiujiang Guo
- Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China
| | - Libo Zhang
- Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China
| | - Pengfei Zhang
- Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China
| | - Da Xu
- Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China
| | - Dongning Zheng
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
| | - Xiaobo Zhu
- CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
- Shanghai Branch, National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Shanghai 201315, China
| | - H Wang
- Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China
- CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Y-A Chen
- CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
- Shanghai Branch, National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Shanghai 201315, China
| | - C-Y Lu
- CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
- Shanghai Branch, National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Shanghai 201315, China
| | - Siyuan Han
- Department of Physics and Astronomy, University of Kansas, Lawrence, Kansas 66045, USA
| | - Jian-Wei Pan
- CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
- Shanghai Branch, National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Shanghai 201315, China
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18
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Abstract
We propose a new method for frequency conversion of photons which is both versatile and deterministic. We show that a system with two resonators ultrastrongly coupled to a single qubit can be used to realise both single- and multiphoton frequency-conversion processes. The conversion can be exquisitely controlled by tuning the qubit frequency to bring the desired frequency-conversion transitions on or off resonance. Considering recent experimental advances in ultrastrong coupling for circuit QED and other systems, we believe that our scheme can be implemented using available technology.
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19
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Signoles A, Dietsche EK, Facon A, Grosso D, Haroche S, Raimond JM, Brune M, Gleyzes S. Coherent Transfer between Low-Angular-Momentum and Circular Rydberg States. PHYSICAL REVIEW LETTERS 2017; 118:253603. [PMID: 28696734 DOI: 10.1103/physrevlett.118.253603] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/14/2017] [Indexed: 06/07/2023]
Abstract
We realize a coherent transfer between a laser-accessible low-angular-momentum Rydberg state and the circular Rydberg level with maximal angular momentum. It is induced by a radio frequency field with a high-purity σ^{+} polarization resonant on Stark transitions inside the hydrogenic Rydberg manifold. We observe over a few microseconds more than 20 coherent Rabi oscillations between the initial Rydberg state and the circular level. We characterize these many-Rydberg-level oscillations and find them in perfect agreement with a simple model. This coherent transfer opens the way to hybrid quantum gates bridging the gap between optical communication and quantum information manipulations with microwave cavity and circuit quantum electrodynamics.
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Affiliation(s)
- A Signoles
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - E K Dietsche
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - A Facon
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - D Grosso
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - S Haroche
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - J M Raimond
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - M Brune
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - S Gleyzes
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
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20
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Zhao X, Liu N, Liang JQ. Collective atomic-population-inversion and stimulated radiation for two-component Bose-Einstein condensate in an optical cavity. OPTICS EXPRESS 2017; 25:8123-8137. [PMID: 28380930 DOI: 10.1364/oe.25.008123] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
In this paper we investigate the ground-state properties and related quantum phase transitions for the two-component Bose-Einstein condensate in a single-mode optical cavity. Apart from the usual normal and superradiant phases, multi-stable macroscopic quantum states are realized by means of the spin-coherent-state variational method. We demonstrate analytically the stimulated radiation from a collective state of atomic population inversion, which does not exist in the normal Dicke model with single-component atoms. It is also revealed that the stimulated radiation can be generated only from one component of atoms and the other remains in the ordinary superradiant state. However, the order of superradiant and stimulated-radiation states is interchangeable between two components of atoms by tuning the relative atom-field couplings and the frequency detuning as well.
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21
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Liu T, Su QP, Xiong SJ, Liu JM, Yang CP, Nori F. Generation of a macroscopic entangled coherent state using quantum memories in circuit QED. Sci Rep 2016; 6:32004. [PMID: 27562055 PMCID: PMC4999958 DOI: 10.1038/srep32004] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/11/2016] [Accepted: 08/01/2016] [Indexed: 11/13/2022] Open
Abstract
W-type entangled states can be used as quantum channels for, e.g., quantum teleportation, quantum dense coding, and quantum key distribution. In this work, we propose a way to generate a macroscopic W-type entangled coherent state using quantum memories in circuit QED. The memories considered here are nitrogen-vacancy center ensembles (NVEs), each located in a different cavity. This proposal does not require initially preparing each NVE in a coherent state instead of a ground state, which should significantly reduce its experimental difficulty. For most of the operation time, each cavity remains in a vacuum state, thus decoherence caused by the cavity decay and the unwanted inter-cavity crosstalk are greatly suppressed. Moreover, only one external-cavity coupler qubit is needed, which simplifies the circuit.
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Affiliation(s)
- Tong Liu
- Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
| | - Qi-Ping Su
- Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
| | - Shao-Jie Xiong
- Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
| | - Jin-Ming Liu
- State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China
| | - Chui-Ping Yang
- Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
| | - Franco Nori
- CEMS, RIKEN, Saitama 351-0198, Japan
- Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1040, USA
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22
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Wang DW, Cai H, Liu RB, Scully MO. Mesoscopic Superposition States Generated by Synthetic Spin-Orbit Interaction in Fock-State Lattices. PHYSICAL REVIEW LETTERS 2016; 116:220502. [PMID: 27314706 DOI: 10.1103/physrevlett.116.220502] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/12/2016] [Indexed: 06/06/2023]
Abstract
Mesoscopic superposition states of photons can be prepared in three cavities interacting with the same two-level atom. By periodically modulating the three cavity frequencies around the transition frequency of the atom with a 2π/3 phase difference, the time reversal symmetry is broken and an optical circulator is generated with chiralities depending on the quantum state of the atom. A superposition of the atomic states can guide photons from one cavity to a mesoscopic superposition of the other two cavities. The physics can be understood in a finite spin-orbit-coupled Fock-state lattice where the atom and the cavities carry the spin and the orbit degrees of freedom, respectively. This scheme can be realized in circuit QED architectures and provides a new platform for exploring quantum information and topological physics in novel lattices.
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Affiliation(s)
- Da-Wei Wang
- Texas A&M University, College Station, Texas 77843, USA
| | - Han Cai
- Texas A&M University, College Station, Texas 77843, USA
| | - Ren-Bao Liu
- Department of Physics and Centre for Quantum Coherence, The Chinese University of Hong Kong, Hong Kong, China
| | - Marlan O Scully
- Texas A&M University, College Station, Texas 77843, USA
- Princeton University, Princeton, New Jersey 08544, USA
- Baylor University, Waco, Texas 76706, USA
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23
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Wang C, Gao YY, Reinhold P, Heeres RW, Ofek N, Chou K, Axline C, Reagor M, Blumoff J, Sliwa KM, Frunzio L, Girvin SM, Jiang L, Mirrahimi M, Devoret MH, Schoelkopf RJ. A Schrödinger cat living in two boxes. Science 2016; 352:1087-91. [DOI: 10.1126/science.aaf2941] [Citation(s) in RCA: 189] [Impact Index Per Article: 23.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/20/2016] [Accepted: 04/14/2016] [Indexed: 11/02/2022]
Affiliation(s)
- Chen Wang
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - Yvonne Y. Gao
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - Philip Reinhold
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - R. W. Heeres
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - Nissim Ofek
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - Kevin Chou
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - Christopher Axline
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - Matthew Reagor
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - Jacob Blumoff
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - K. M. Sliwa
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - L. Frunzio
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - S. M. Girvin
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - Liang Jiang
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - M. Mirrahimi
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
- INRIA Paris-Rocquencourt, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France
| | - M. H. Devoret
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
| | - R. J. Schoelkopf
- Department of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA
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24
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Du H, Zhang X, Chen G, Deng J, Chau FS, Zhou G. Precise control of coupling strength in photonic molecules over a wide range using nanoelectromechanical systems. Sci Rep 2016; 6:24766. [PMID: 27097883 PMCID: PMC4838863 DOI: 10.1038/srep24766] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/18/2016] [Accepted: 04/01/2016] [Indexed: 11/18/2022] Open
Abstract
Photonic molecules have a range of promising applications including quantum information processing, where precise control of coupling strength is critical. Here, by laterally shifting the center-to-center offset of coupled photonic crystal nanobeam cavities, we demonstrate a method to precisely and dynamically control the coupling strength of photonic molecules through integrated nanoelectromechanical systems with a precision of a few GHz over a range of several THz without modifying the nature of their constituent resonators. Furthermore, the coupling strength can be tuned continuously from negative (strong coupling regime) to zero (weak coupling regime) and further to positive (strong coupling regime) and vice versa. Our work opens a door to the optimization of the coupling strength of photonic molecules in situ for the study of cavity quantum electrodynamics and the development of efficient quantum information devices.
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Affiliation(s)
- Han Du
- Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576
| | - Xingwang Zhang
- Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576
| | - Guoqiang Chen
- Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576
| | - Jie Deng
- Institute of Materials Research and Engineering, A *STAR (Agency for Science, Technology, and Research), 2 Fusionopolis Way, Innovis, #08-03, Singapore 138634
| | - Fook Siong Chau
- Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576
| | - Guangya Zhou
- Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576
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25
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Zhao YJ, Wang C, Zhu X, Liu YX. Engineering entangled microwave photon states through multiphoton interactions between two cavity fields and a superconducting qubit. Sci Rep 2016; 6:23646. [PMID: 27033558 PMCID: PMC4817062 DOI: 10.1038/srep23646] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/13/2016] [Accepted: 03/10/2016] [Indexed: 11/09/2022] Open
Abstract
It has been shown that there are not only transverse but also longitudinal couplings between microwave fields and a superconducting qubit with broken inversion symmetry of the potential energy. Using multiphoton processes induced by longitudinal coupling fields and frequency matching conditions, we design a universal algorithm to produce arbitrary superpositions of two-mode photon states of microwave fields in two separated transmission line resonators, which are coupled to a superconducting qubit. Based on our algorithm, we analyze the generation of evenly-populated states and NOON states. Compared to other proposals with only single-photon process, we provide an efficient way to produce entangled microwave photon states when the interactions between superconducting qubits and microwave fields are in the strong and ultrastrong regime.
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Affiliation(s)
- Yan-Jun Zhao
- Institute of Microelectronics, Tsinghua University, Beijing, 100084, China
| | - Changqing Wang
- Institute of Microelectronics, Tsinghua University, Beijing, 100084, China
| | - Xiaobo Zhu
- Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China
| | - Yu-xi Liu
- Institute of Microelectronics, Tsinghua University, Beijing, 100084, China.,Tsinghua National Laboratory for Information Science and Technology (TNList), Beijing 100084, China
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26
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Quantum state transfer and controlled-phase gate on one-dimensional superconducting resonators assisted by a quantum bus. Sci Rep 2016; 6:22037. [PMID: 26907366 PMCID: PMC4764984 DOI: 10.1038/srep22037] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/17/2015] [Accepted: 02/04/2016] [Indexed: 11/25/2022] Open
Abstract
We propose a quantum processor for the scalable quantum computation on microwave photons in distant one-dimensional superconducting resonators. It is composed of a common resonator R acting as a quantum bus and some distant resonators rj coupled to the bus in different positions assisted by superconducting quantum interferometer devices (SQUID), different from previous processors. R is coupled to one transmon qutrit, and the coupling strengths between rj and R can be fully tuned by the external flux through the SQUID. To show the processor can be used to achieve universal quantum computation effectively, we present a scheme to complete the high-fidelity quantum state transfer between two distant microwave-photon resonators and another one for the high-fidelity controlled-phase gate on them. By using the technique for catching and releasing the microwave photons from resonators, our processor may play an important role in quantum communication as well.
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27
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Zhang FY, Chen XY, Li C, Song HS. Long-distance quantum information transfer with strong coupling hybrid solid system. Sci Rep 2015; 5:17025. [PMID: 26585779 PMCID: PMC4653632 DOI: 10.1038/srep17025] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/08/2015] [Accepted: 10/21/2015] [Indexed: 11/23/2022] Open
Abstract
In this paper, we demonstrate how information can be transferred among the
long-distance memory units in a hybrid solid architecture, which consists the
nitrogen-vacancy (NV) ensemble acting as the memory unit, the LC circuit
acting as the transmitter (receiver), and the flux qubit acting as the interface.
Numerical simulation demonstrates that the high-fidelity quantum information
transfer between memory unit and transmitter (receiver) can be implemented, and this
process is robust to both the LC circuit decay and NV ensemble spontaneous
emission.
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Affiliation(s)
- Feng-Yang Zhang
- School of Physics and Materials Engineering, Dalian Nationalities University, Dalian 116600, China.,School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
| | - Xin-Yu Chen
- School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
| | - Chong Li
- School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
| | - He-Shan Song
- School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
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28
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Hua M, Tao MJ, Deng FG, Lu Long G. One-step resonant controlled-phase gate on distant transmon qutrits in different 1D superconducting resonators. Sci Rep 2015; 5:14541. [PMID: 26486426 PMCID: PMC4613593 DOI: 10.1038/srep14541] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2015] [Accepted: 08/27/2015] [Indexed: 11/09/2022] Open
Abstract
We propose a scheme to construct the controlled-phase (c-phase) gate on distant transmon qutrits hosted in different resonators inter-coupled by a connected transmon qutrit. Different from previous works for entanglement generation and information transfer on two distant qubits in a dispersive regime in the similar systems, our gate is constructed in the resonant regime with one step. The numerical simulation shows that the fidelity of our c-phase gate is 99.5% within 86.3 ns. As an interesting application of our c-phase gate, we propose an effective scheme to complete a conventional square lattice of two-dimensional surface code layout for fault-tolerant quantum computing on the distant transmon qutrits. The four-step coupling between the nearest distant transmon qutrits, small coupling strengths of the distant transmon qutrits, and the non-population on the connection transmon qutrit can reduce the interactions among different parts of the layout effectively, which makes the layout be integrated with a large scale in an easier way.
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Affiliation(s)
- Ming Hua
- State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China
- Tsinghua National Laboratory for Information Science and Technology, Beijing 100084, China
- Collaborative Innovation Center of Quantum Matter, Beijing 100084, China
- Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China
| | - Ming-Jie Tao
- Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China
| | - Fu-Guo Deng
- Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China
| | - Gui Lu Long
- State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China
- Tsinghua National Laboratory for Information Science and Technology, Beijing 100084, China
- Collaborative Innovation Center of Quantum Matter, Beijing 100084, China
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29
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Xiong SJ, Sun Z, Liu JM, Liu T, Yang CP. Efficient scheme for generation of photonic NOON states in circuit QED. OPTICS LETTERS 2015; 40:2221-2224. [PMID: 26393704 DOI: 10.1364/ol.40.002221] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
We propose an efficient scheme for generating photonic NOON states of two resonators coupled to a four-level superconducting flux device (coupler). This proposal operates essentially by employing a technique of a coupler resonantly interacting with two resonators simultaneously. As a consequence, the NOON-state preparation requires only N+1 operational steps and thus is much faster when compared with a recent proposal [Su et al, Sci. Rep.4, 3898 (2014)] requiring 2N steps of operation. Moreover, due to the use of only two resonators and a coupler, the experimental setup is much simplified when compared with previous proposals requiring three resonators and two superconducting qubits/qutrits.
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30
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Hua M, Tao MJ, Deng FG. Fast universal quantum gates on microwave photons with all-resonance operations in circuit QED. Sci Rep 2015; 5:9274. [PMID: 25787147 PMCID: PMC4365390 DOI: 10.1038/srep09274] [Citation(s) in RCA: 50] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/29/2014] [Accepted: 02/24/2015] [Indexed: 11/09/2022] Open
Abstract
Stark shift on a superconducting qubit in circuit quantum electrodynamics (QED) has been used to construct universal quantum entangling gates on superconducting resonators in previous works. It is a second-order coupling effect between the resonator and the qubit in the dispersive regime, which leads to a slow state-selective rotation on the qubit. Here, we present two proposals to construct the fast universal quantum gates on superconducting resonators in a microwave-photon quantum processor composed of multiple superconducting resonators coupled to a superconducting transmon qutrit, that is, the controlled-phase (c-phase) gate on two microwave-photon resonators and the controlled-controlled phase (cc-phase) gates on three resonators, resorting to quantum resonance operations, without any drive field. Compared with previous works, our universal quantum gates have the higher fidelities and shorter operation times in theory. The numerical simulation shows that the fidelity of our c-phase gate is 99.57% within about 38.1 ns and that of our cc-phase gate is 99.25% within about 73.3 ns.
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Affiliation(s)
- Ming Hua
- Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China
| | - Ming-Jie Tao
- Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China
| | - Fu-Guo Deng
- Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China
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31
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Wang YP, Wang W, Xue ZY, Yang WL, Hu Y, Wu Y. Realizing and characterizing chiral photon flow in a circuit quantum electrodynamics necklace. Sci Rep 2015; 5:8352. [PMID: 25666884 PMCID: PMC4322363 DOI: 10.1038/srep08352] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/23/2014] [Accepted: 01/16/2015] [Indexed: 11/09/2022] Open
Abstract
Gauge theory plays the central role in modern physics. Here we propose a scheme of implementing artificial Abelian gauge fields via the parametric conversion method in a necklace of superconducting transmission line resonators (TLRs) coupled by superconducting quantum interference devices (SQUIDs). The motivation is to synthesize an extremely strong effective magnetic field for charge-neutral bosons which can hardly be achieved in conventional solid-state systems. The dynamic modulations of the SQUIDs can induce effective magnetic fields for the microwave photons in the TLR necklace through the generation of the nontrivial hopping phases of the photon hopping between neighboring TLRs. To demonstrate the synthetic magnetic field, we study the realization and detection of the chiral photon flow dynamics in this architecture under the influence of decoherence. Taking the advantages of its simplicity and flexibility, this parametric scheme is feasible with state-of-the-art technology and may pave an alternative way for investigating the gauge theories with superconducting quantum circuits. We further propose a quantitative measure for the chiral property of the photon flow. Beyond the level of qualitative description, the dependence of the chiral flow on external pumping parameters and cavity decay is characterized.
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Affiliation(s)
- Yan-Pu Wang
- Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, China
| | - Wei Wang
- Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, China
| | - Zheng-Yuan Xue
- 1] Department of Physics and Center of Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong, China [2] Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China
| | - Wan-Li Yang
- State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
| | - Yong Hu
- 1] Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, China [2] Department of Physics and Center of Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong, China
| | - Ying Wu
- Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, China
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32
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Hua M, Tao MJ, Deng FG. Efficient generation of NOON states on two microwave-photon resonators. CHINESE SCIENCE BULLETIN-CHINESE 2014. [DOI: 10.1007/s11434-014-0443-y] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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33
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Jeffrey E, Sank D, Mutus JY, White TC, Kelly J, Barends R, Chen Y, Chen Z, Chiaro B, Dunsworth A, Megrant A, O'Malley PJJ, Neill C, Roushan P, Vainsencher A, Wenner J, Cleland AN, Martinis JM. Fast accurate state measurement with superconducting qubits. PHYSICAL REVIEW LETTERS 2014; 112:190504. [PMID: 24877923 DOI: 10.1103/physrevlett.112.210501] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/19/2013] [Indexed: 05/23/2023]
Abstract
Faster and more accurate state measurement is required for progress in superconducting qubit experiments with greater numbers of qubits and advanced techniques such as feedback. We have designed a multiplexed measurement system with a bandpass filter that allows fast measurement without increasing environmental damping of the qubits. We use this to demonstrate simultaneous measurement of four qubits on a single superconducting integrated circuit, the fastest of which can be measured to 99.8% accuracy in 140 ns. This accuracy and speed is suitable for advanced multiqubit experiments including surface-code error correction.
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Affiliation(s)
- Evan Jeffrey
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - Daniel Sank
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - J Y Mutus
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - T C White
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - J Kelly
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - R Barends
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - Y Chen
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - Z Chen
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - B Chiaro
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - A Dunsworth
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - A Megrant
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - P J J O'Malley
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - C Neill
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - P Roushan
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - A Vainsencher
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - J Wenner
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
| | - A N Cleland
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
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34
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Fedorov KG, Shcherbakova AV, Wolf MJ, Beckmann D, Ustinov AV. Fluxon readout of a superconducting qubit. PHYSICAL REVIEW LETTERS 2014; 112:160502. [PMID: 24815629 DOI: 10.1103/physrevlett.112.160502] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/18/2013] [Indexed: 05/27/2023]
Abstract
An experiment demonstrating a link between classical single-flux quantum digital logic and a superconducting quantum circuit is reported. We implement coupling between a moving Josephson vortex (fluxon) and a flux qubit by reading out of a state of the flux qubit through a frequency shift of the fluxon oscillations in an annular Josephson junction. The energy spectrum of the flux qubit is measured using this technique. The implemented hybrid scheme opens an opportunity to readout quantum states of superconducting qubits with the classical fluxon logic circuits.
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Affiliation(s)
- Kirill G Fedorov
- Physikalisches Institut and DFG-Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology, D-76131 Karlsruhe, Germany and National University of Science and Technology MISIS, Leninsky prospekt 4, Moscow 119049, Russia
| | - Anastasia V Shcherbakova
- Physikalisches Institut and DFG-Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology, D-76131 Karlsruhe, Germany
| | - Michael J Wolf
- Institute of Nanotechnology, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany
| | - Detlef Beckmann
- Institute of Nanotechnology, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany
| | - Alexey V Ustinov
- Physikalisches Institut and DFG-Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology, D-76131 Karlsruhe, Germany and National University of Science and Technology MISIS, Leninsky prospekt 4, Moscow 119049, Russia and Russian Quantum Center, 100 Novaya Street, Skolkovo, Moscow region 143025, Russia
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35
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Su QP, Yang CP, Zheng SB. Fast and simple scheme for generating NOON states of photons in circuit QED. Sci Rep 2014; 4:3898. [PMID: 24469334 PMCID: PMC3904151 DOI: 10.1038/srep03898] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/22/2013] [Accepted: 01/10/2014] [Indexed: 11/08/2022] Open
Abstract
The generation, manipulation and fundamental understanding of entanglement lies at very heart of quantum mechanics. Among various types of entangled states, the NOON states are a kind of special quantum entangled states with two orthogonal component states in maximal superposition, which have a wide range of potential applications in quantum communication and quantum information processing. Here, we propose a fast and simple scheme for generating NOON states of photons in two superconducting resonators by using a single superconducting transmon qutrit. Because only one superconducting qutrit and two resonators are used, the experimental setup for this scheme is much simplified when compared with the previous proposals requiring a setup of two superconducting qutrits and three cavities. In addition, this scheme is easier and faster to implement than the previous proposals, which require using a complex microwave pulse, or a small pulse Rabi frequency in order to avoid nonresonant transitions.
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Affiliation(s)
- Qi-Ping Su
- Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
| | - Chui-Ping Yang
- Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
- State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China
| | - Shi-Biao Zheng
- Department of Physics, Fuzhou University, Fuzhou 350116, China
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36
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Egger DJ, Wilhelm FK. Multimode circuit quantum electrodynamics with hybrid metamaterial transmission lines. PHYSICAL REVIEW LETTERS 2013; 111:163601. [PMID: 24182265 DOI: 10.1103/physrevlett.111.163601] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/24/2013] [Indexed: 06/02/2023]
Abstract
Quantum transmission lines are central to superconducting and hybrid quantum computing. In this work we show how coupling them to a left-handed transmission line allows circuit QED to reach a new regime: multimode ultrastrong coupling. Out of the many potential applications of this novel device, we discuss the preparation of multipartite entangled states and the simulation of the spin-boson model where a quantum phase transition is reached up to finite size effects.
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Affiliation(s)
- D J Egger
- Theoretical Physics, Universität des Saarlandes, Saarbrücken D-66123, Germany
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37
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Yin Y, Chen Y, Sank D, O'Malley PJJ, White TC, Barends R, Kelly J, Lucero E, Mariantoni M, Megrant A, Neill C, Vainsencher A, Wenner J, Korotkov AN, Cleland AN, Martinis JM. Catch and release of microwave photon states. PHYSICAL REVIEW LETTERS 2013; 110:107001. [PMID: 23521281 DOI: 10.1103/physrevlett.110.107001] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/18/2012] [Indexed: 06/01/2023]
Abstract
We demonstrate a superconducting resonator with variable coupling to a measurement transmission line. The resonator coupling can be adjusted through zero to a photon emission rate 1000 times the intrinsic resonator decay rate. We demonstrate the catch and release of photons in the resonator, as well as control of nonclassical Fock states. We also demonstrate the dynamical control of the release waveform of photons from the resonator, a key functionality that will enable high-fidelity quantum state transfer between distant resonators or qubits.
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Affiliation(s)
- Yi Yin
- Department of Physics, University of California, Santa Barbara, California 93106, USA.
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38
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Strauch FW. All-resonant control of superconducting resonators. PHYSICAL REVIEW LETTERS 2012; 109:210501. [PMID: 23215585 DOI: 10.1103/physrevlett.109.210501] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/27/2012] [Revised: 08/17/2012] [Indexed: 06/01/2023]
Abstract
An all-resonant method is proposed to control the quantum state of superconducting resonators. This approach uses a tunable artificial atom linearly coupled to resonators, and allows for efficient routes to Fock state synthesis, qudit logic operations, and synthesis of NOON states. This resonant approach is theoretically analyzed, and found to perform significantly better than existing proposals using the same technology.
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39
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Sank D, Barends R, Bialczak RC, Chen Y, Kelly J, Lenander M, Lucero E, Mariantoni M, Megrant A, Neeley M, O'Malley PJJ, Vainsencher A, Wang H, Wenner J, White TC, Yamamoto T, Yin Y, Cleland AN, Martinis JM. Flux noise probed with real time qubit tomography in a Josephson phase qubit. PHYSICAL REVIEW LETTERS 2012; 109:067001. [PMID: 23006294 DOI: 10.1103/physrevlett.109.067001] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/03/2011] [Indexed: 06/01/2023]
Abstract
We measure the dependence of qubit phase coherence and flux noise on inductor loop geometry. While wider inductor traces change neither the flux noise power spectrum nor the qubit dephasing time, increased inductance leads to a simultaneous increase in both. Using our new tomographic protocol for measuring low frequency flux noise, we make a direct comparison between the flux noise spectrum and qubit phase decay, finding agreement within 10% of theory.
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Affiliation(s)
- Daniel Sank
- Department of Physics, University of California, Santa Barbara, California 93106-9530, USA
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40
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Nguyen F, Zakka-Bajjani E, Simmonds RW, Aumentado J. Quantum interference between two single photons of different microwave frequencies. PHYSICAL REVIEW LETTERS 2012; 108:163602. [PMID: 22680718 DOI: 10.1103/physrevlett.108.163602] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/24/2011] [Revised: 02/02/2012] [Indexed: 06/01/2023]
Abstract
We have measured quantum interference between two single microwave photons trapped in the same superconducting resonator, whose frequencies are initially about 6 GHz apart. We accomplish this by use of a parametric frequency conversion process that mixes the mode currents of two cavity harmonics through a superconducting quantum interference device, and demonstrate that a two-photon entanglement operation can be performed with high fidelity.
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Affiliation(s)
- François Nguyen
- National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA.
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41
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Nikoghosyan G, Hartmann MJ, Plenio MB. Generation of mesoscopic entangled states in a cavity coupled to an atomic ensemble. PHYSICAL REVIEW LETTERS 2012; 108:123603. [PMID: 22540581 DOI: 10.1103/physrevlett.108.123603] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/29/2011] [Indexed: 05/31/2023]
Abstract
We propose a novel scheme for the efficient production of entangled states for N photons of the form |N>(a)|0>(b) + |0>(a)|N>(b) (NOON states) based on the resonant interaction of a pair of quantized cavity modes with an ensemble of atoms. We show that, in the strong-coupling regime, the adiabatic evolution of the system tends to a limiting state that describes mesoscopic entanglement between photons and atoms which can easily be converted to a purely photonic or atomic NOON state. We also demonstrate the remarkable property that the efficiency of this scheme increases exponentially with the cavity cooperativity factor, which gives efficient access to high number NOON states. The experimental feasibility of the scheme is discussed, and its efficiency is demonstrated numerically.
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Affiliation(s)
- G Nikoghosyan
- Institut für Theoretische Physik, Albert-Einstein Allee 11, Universität Ulm, 89069 Ulm, Germany
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42
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Mariantoni M, Wang H, Yamamoto T, Neeley M, Bialczak RC, Chen Y, Lenander M, Lucero E, O’Connell AD, Sank D, Weides M, Wenner J, Yin Y, Zhao J, Korotkov AN, Cleland AN, Martinis JM. Implementing the Quantum von Neumann Architecture with Superconducting Circuits. Science 2011; 334:61-5. [DOI: 10.1126/science.1208517] [Citation(s) in RCA: 220] [Impact Index Per Article: 16.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Affiliation(s)
- Matteo Mariantoni
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
- California NanoSystems Institute, University of California, Santa Barbara, CA 93106–9530, USA
| | - H. Wang
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - T. Yamamoto
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
- Green Innovation Research Laboratories, NEC Corporation, Tsukuba, Ibaraki 305-8501, Japan
| | - M. Neeley
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - Radoslaw C. Bialczak
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - Y. Chen
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - M. Lenander
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - Erik Lucero
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - A. D. O’Connell
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - D. Sank
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - M. Weides
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - J. Wenner
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - Y. Yin
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - J. Zhao
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
| | - A. N. Korotkov
- Department of Electrical Engineering, University of California, Riverside, CA 92521, USA
| | - A. N. Cleland
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
- California NanoSystems Institute, University of California, Santa Barbara, CA 93106–9530, USA
| | - John M. Martinis
- Department of Physics, University of California, Santa Barbara, CA 93106–9530, USA
- California NanoSystems Institute, University of California, Santa Barbara, CA 93106–9530, USA
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43
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Eichler C, Bozyigit D, Lang C, Baur M, Steffen L, Fink JM, Filipp S, Wallraff A. Observation of two-mode squeezing in the microwave frequency domain. PHYSICAL REVIEW LETTERS 2011; 107:113601. [PMID: 22026665 DOI: 10.1103/physrevlett.107.113601] [Citation(s) in RCA: 51] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/24/2011] [Revised: 06/08/2011] [Indexed: 05/31/2023]
Abstract
Continuous variable entanglement between two modes of a radiation field is usually studied at optical frequencies. Here we demonstrate experiments that show the entanglement between microwave photons of different energy in a broadband squeezed beam. We use a Josephson parametric amplifier to generate the two-mode correlated state and detect all four quadrature components simultaneously in a two-channel heterodyne setup using amplitude detectors. Analyzing two-dimensional phase space histograms for all possible pairs of quadratures allows us to determine the full covariance matrix, which is in good agreement with the one expected for a two-mode squeezed state.
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Affiliation(s)
- C Eichler
- Department of Physics, ETH Zürich, CH-8093, Zürich, Switzerland
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44
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45
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Hu Y, Tian L. Deterministic generation of entangled photons in superconducting resonator arrays. PHYSICAL REVIEW LETTERS 2011; 106:257002. [PMID: 21770664 DOI: 10.1103/physrevlett.106.257002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/13/2010] [Indexed: 05/31/2023]
Abstract
We present a scheme for the deterministic generation of entangled photon pairs in a superconducting resonator array. The resonators form a Jaynes-Cummings lattice via the coupling to superconducting qubits, and the Kerr-like nonlinearity arises due to the coupling. We show that entangled photons can be generated on demand by applying spectroscopic techniques and exploiting the nonlinearity and symmetry in the resonators. The scheme is robust against small parameter spreads due to fabrication errors. Our findings can be used as a key element for quantum information processing in superconducting quantum circuits.
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Affiliation(s)
- Yong Hu
- University of California, Merced, 5200 North Lake Road, Merced, California 95343, USA
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