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Winnel MS, Guanzon JJ, Singh D, Ralph TC. Deterministic Preparation of Optical Squeezed Cat and Gottesman-Kitaev-Preskill States. PHYSICAL REVIEW LETTERS 2024; 132:230602. [PMID: 38905686 DOI: 10.1103/physrevlett.132.230602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/17/2023] [Accepted: 05/02/2024] [Indexed: 06/23/2024]
Abstract
Large-amplitude squeezed cat states and high-quality Gottesman-Kitaev-Preskill (GKP) states are essential for effective quantum error correction, yet their optical preparation has been hindered by challenges such as low success probabilities, small amplitudes, and insufficient squeezing. Addressing these limitations, our research introduces scalable optical schemes for the deterministic preparation of large-amplitude squeezed cat states from photon-number states. Fock states have the benefit of producing consistent cat states across all measurement outcomes and intrinsically provides a degree of squeezing. Notably, these squeezed cat states facilitate the deterministic generation of high-quality approximate GKP states via "breeding," showing that GKP error correction in optics is technically feasible in near-term experiments. Our schemes allow fault-tolerant quantum computation through the use of GKP error correction.
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Affiliation(s)
- Matthew S Winnel
- Centre for Quantum Computation and Communication Technology, School of Mathematics and Physics, University of Queensland, St Lucia, Queensland 4072, Australia
| | - Joshua J Guanzon
- Centre for Quantum Computation and Communication Technology, School of Mathematics and Physics, University of Queensland, St Lucia, Queensland 4072, Australia
| | - Deepesh Singh
- Centre for Quantum Computation and Communication Technology, School of Mathematics and Physics, University of Queensland, St Lucia, Queensland 4072, Australia
| | - Timothy C Ralph
- Centre for Quantum Computation and Communication Technology, School of Mathematics and Physics, University of Queensland, St Lucia, Queensland 4072, Australia
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Citeli de Freitas M, Dantas Meireles V, Dodonov VV. Minimal Products of Coordinate and Momentum Uncertainties of High Orders: Significant and Weak High-Order Squeezing. ENTROPY (BASEL, SWITZERLAND) 2020; 22:E980. [PMID: 33286749 PMCID: PMC7597293 DOI: 10.3390/e22090980] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/29/2020] [Revised: 08/23/2020] [Accepted: 08/31/2020] [Indexed: 11/16/2022]
Abstract
We consider the problem of minimization of products of mean values of the high powers of operators x and p. From this point of view, we study several two-term superpositions of the Fock states, as well as three popular families of infinite superpositions: squeezed states, even/odd coherent states, and orthogonal even coherent states (or compass states). The new element is the analysis of products of the corresponding (co)variances and the related generalized (Robertson-Schrödinger) intelligent states (RSIS). In particular, we show that both Fock and pure Gaussian homogeneous states are RSIS for the fourth powers (but not for the sixth ones). We show that lower bounds of the high-order uncertainty products can be significantly below the vacuum values. In this connection, the concept of significant and weak high-order squeezing is introduced.
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Affiliation(s)
- Miguel Citeli de Freitas
- Institute of Physics, University of Brasilia, P.O. Box 04455, Brasilia 70919-970, DF, Brazil; (M.C.d.F.); (V.D.M.)
| | - Vitor Dantas Meireles
- Institute of Physics, University of Brasilia, P.O. Box 04455, Brasilia 70919-970, DF, Brazil; (M.C.d.F.); (V.D.M.)
- Instituto de Física de São Carlos, Universidade de São Paulo, C.P. 369, São Carlos 13560-970, SP, Brazil
| | - Viktor V. Dodonov
- Institute of Physics, University of Brasilia, P.O. Box 04455, Brasilia 70919-970, DF, Brazil; (M.C.d.F.); (V.D.M.)
- International Center for Physics, University of Brasilia, Brasilia 70919-970, DF, Brazil
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Enhancing the Generated Stable Correlation in a Dissipative System of Two Coupled Qubits inside a Coherent Cavity via Their Dipole-Dipole Interplay. ENTROPY 2019; 21:e21070672. [PMID: 33267386 PMCID: PMC7515168 DOI: 10.3390/e21070672] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/13/2019] [Revised: 06/20/2019] [Accepted: 06/26/2019] [Indexed: 11/16/2022]
Abstract
We explore the dissipative dynamics of two coupled qubits placed inside a coherent cavity-field under dipole-dipole interplay and 2-photon transitions. The generated non-classical correlations (NCCs) beyond entanglement are investigated via two measures based on the Hilbert-Schmidt norm. It is found that the robustness of the generated NCCs can be greatly enhanced by performing the intrinsic dissipation rate, dipole-dipole interplay rate, initial coherence intensity and the degree of the coherent state superpositions. The results show that the intrinsic decoherence stabilize the stationarity of the non-classical correlations while the dipole interplay rate boost them. The non-classical correlations can be frozen at their stationary correlations by increasing the intrinsic dissipation rate. Also NCCs, can be enhanced by increasing the initial coherent intensity.
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Dodonov VV. `Nonclassical' states in quantum optics: a `squeezed' review of the first 75 years. ACTA ACUST UNITED AC 2002. [DOI: 10.1088/1464-4266/4/1/201] [Citation(s) in RCA: 639] [Impact Index Per Article: 29.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Domokos P, Janszky J, Adam P, Larsen T. Role of quantum interference in producing non-classical states. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0954-8998/6/3/005] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Stergioulas LK, Vassiliadis VS, Vourdas A. Construction of quantum states from an optimally truncated von Neumann lattice of coherent states. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/32/17/308] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Vourdas A. Resolutions of the identity in terms of SU(2) coherent states and their use for quantum-state engineering. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:4544-4552. [PMID: 9914007 DOI: 10.1103/physreva.54.4544] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Gerry CC. Generation of four-photon coherent states in dispersive cavity QED. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:3818-3821. [PMID: 9913344 DOI: 10.1103/physreva.53.3818] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Szabo S, Adam P, Janszky J, Domokos P. Construction of quantum states of the radiation field by discrete coherent-state superpositions. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:2698-2710. [PMID: 9913183 DOI: 10.1103/physreva.53.2698] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Janszky J, Domokos P, Szabó S, Adam P. Quantum-state engineering via discrete coherent-state superpositions. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:4191-4193. [PMID: 9912095 DOI: 10.1103/physreva.51.4191] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Domokos P, Adam P, Janszky J. One-dimensional coherent-state representation on a circle in phase space. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:4293-4297. [PMID: 9911404 DOI: 10.1103/physreva.50.4293] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Domokos P, Janszky J, Adam P. Single-atom interference method for generating Fock states. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:3340-3344. [PMID: 9911282 DOI: 10.1103/physreva.50.3340] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Janszky J, Vinogradov AV, Kobayashi T, Kis Z. Vibrational Schrödinger-cat states. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:1777-1784. [PMID: 9911071 DOI: 10.1103/physreva.50.1777] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Adam P, Földesi I, Janszky J. Complete basis set via straight-line coherent-state superpositions. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:1281-1287. [PMID: 9910361 DOI: 10.1103/physreva.49.1281] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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