Non-classical correlations and quantum state transfer in nonlinear
atom-cavity-fiber system with Kerr medium

doi:10.3969/j.issn.1007-5461.2021.03.015

Abstract

Abstract: The influence of nonlinear Kerr medium on non-classical correlations and quantum state transfer in an atom-cavity-fiber system with a cavity filled with nonlinear Kerr medium are investigated. Results show that Kerr medium can increase the amount of non-classical correlations and the fidelity of quantum state transfer, and slow down the decay rate of non-classical correlations and fidelity, which means that the time of non-classical correlation and quantum state transfer can be prolonged by adjusting Kerr medium. Furthermore, how Kerr medium affects the transfer of quantum information in the system is also explored by making use of the trace distance. It is found that the decay rate of trance distance can be reduced by Kerr medium, and the flow of quantum information can be suppressed as well, which indicates that the storage time of quantum information between target atoms can be increased.

Key words: quantum optics, atom-cavity-fiber system, nonlinear Kerr medium, non-classical correlation; quantum state transfer

CLC Number:

O431.2

HE Qiliang∗, DING Min, SONG Xiaoshu, XIAO Yongjun, LYU Bing. Non-classical correlations and quantum state transfer in nonlinear atom-cavity-fiber system with Kerr medium[J]. Chinese Journal of Quantum Electronics, 2021, 38(3): 382-392.

References 36

[1]	Kimble H J. The quantum internet [J]. Nature, 2008, 453(7198): 1023-1030.
[2]	Bennett C H. Quantum information and computation [J]. Physics Today, 1995, 48(5): 10-34.
[3]	Karlsson A, Koashi M, Imoto N. Quantum entanglement for secret sharing and secret splitting [J]. Physical Review A, 1999,
59	(1): 162-168.
[4]	Shi H Q, Pu T, Zheng J L, et al. Research on the key expansion module of quantum noise random stream cipher [J]. Chinese
	Journal of Quantum Electronics, 2020, 37(2): 196-201.
	史海勤, 蒲涛, 郑吉林, 等. 量子噪声随机流密码中密钥扩展模块的研究[J]. 量子电子学报, 2020, 37(2): 196-201.
[5]	Cleve R, Gottesman D, Lo H K. How to share a quantum secret [J]. Physical Review Letters, 1999, 83(3): 648-651.
[6]	Ekert A K. Quantum cryptography based on Bell’s theorem [J]. Physical Review Letters, 1991, 67(6): 661-663.
[7]	Bennett C H, Brassard G, Crepeau C, et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-
	Rosen channels [J]. Physical Review Letters, 1993, 70(13): 1895-1899.
[8]	Lloyd S. A potentially realizable quantum computer [J]. Science, 1993, 261(5128): 1569-1571.
[9]	Cirac J I, Zoller P, Kimble H J, et al. Quantum state transfer and entanglement distribution among distant nodes in a quantum
	network [J]. Physical Review Letters, 1997, 78(16): 3221-3224.
[10]	Nielsen M A, Chuang I L. Quantum Computation and Quantum Information [M]. London: Cambridge University Press, 2000:
88	0-925.
[11]	Gao F F, Li Z H, Han D. A new B92 protocol based on phase encoding [J]. Chinese Journal of Quantum Electronics, 2019,
36	(6): 727-731.
	高菲菲, 李志慧, 韩朵. 一种新的基于相位编码的B92 协议[J]. 量子电子学报, 2019, 36(6): 727-731.
[12]	Pellizzari T. Quantum networking with optical fibres [J]. Physical Review Letters, 1997, 79(26): 5242-5245.
[13]	Chen L B, Ye M Y, Lin G W, et al. Generation of entanglement via adiabatic passage [J]. Physical Review A, 2007, 76(6):
06	2304.
[14]	Zheng S B, Yang Z B, Xia Y. Generation of two-mode squeezed states for two separated atomic ensembles via coupled cavities
[J]	Physical Review A, 2010, 81(1): 015804.
[15]	Serafini A, Mancini S, Bose S. Distributed quantum computation via optical fibers [J]. Physical Review Letters, 2006, 96(1):
01	0503.
[16]	Ye S Y, Zhong Z R, Zheng S B. Deterministic generation of three-dimensional entanglement for two atoms separately trapped
	in two optical cavities [J]. Physical Review A, 2008, 77(1): 014303.
[17]	Zhou Y L, Wang Y M, Liang L M, et al. Quantum state transfer between distant nodes of a quantum network via adiabatic
	passage [J]. Physical Review A, 2009, 79(4): 044304.
[18]	Ritter S, N¨olleke C, Hahn C, et al. An elementary quantum network of single atoms in optical cavities [J]. Nature, 2012,
48	4(7393): 195-200.
[19]	Zhong Z R. Controllable and fast quantum information transfer between distant nodes in two-dimensional networks [J]. Scientific
	Reports, 2016, 6(1): 1-10.
[20]	Mohamed A B A, Eleuch H. Generation and robustness of bipartite non-classical correlations in two nonlinear microcavities
	coupled by an optical fiber [J]. Journal of the Optical Society of America B, 2017, 35(1): 47-53.
[21]	Yin Z Q, Li F L. Multiatom and resonant interaction scheme for quantum state transfer and logical gates between two remote
	cavities via an optical fiber [J]. Physical Review A, 2007, 75(1): 012324.
[22]	Ma J M, Jiao Z Y, Li N. Quantum entanglement in two-photon Tavis-Cummings model with a Kerr nonlinearity [J]. International
	Journal of Theoretical Physics, 2007, 46(10): 2550-2559.
[23]	Brune M, Hagley E, Dreyer J, et al. Observing the progressive decoherence of the “Meter” in a quantum measurement [J].
	Physical Review Letters, 1996, 77(24): 4887-4890.
[24]	Boca A, Miller R, Birnbaum K M, et al. Observation of the vacuum rabi spectrum for one trapped atom [J]. Physical Review
	Letters, 2004, 93(23): 233603.
[25]	Vogt T, Viteau M, Zhao J, et al. Dipole blockade at f¨orster resonances in high resolution laser excitation of Rydberg states of
	cesium atoms [J]. Physical Review Letters, 2006, 97(8): 083003.
[26]	Wu J, L¨u X Y. Quantum state transfer between distant atoms via selectivity photon emission and absorption progresses [J].
	Optics Communications, 2011, 284(7): 2083-2088.
[27]	Zheng B, Shen L T, Chen M F. Entanglement and quantum state transfer between two atoms trapped in two indirectly coupled
	cavities [J]. Quantum Information Processing, 2016, 15(5): 2181-2191.
[28]	Wootters W K. Entanglement of formation of an arbitrary state of two qubits [J]. Physical Review Letters, 1998, 80(10): 2245-
	2248.
[29]	O’Connor K M, Wootters W K. Entangled rings [J]. Physical Review A, 2001, 63(5): 052302.
[30]	Ollivier H, Zurek W H. Quantum discord: A measure of the quantumness of correlations [J]. Physical Review Letters, 2001,
88	(1): 017901.
[31]	Modi K, Brodutch A, Cable H, et al. The classical-quantum boundary for correlations: Discord and related measures [J].
	Reviews of Modern Physics, 2012, 84(4): 1655.
[32]	Ali M, Rau A R P, Alber G. Quantum discord for two-qubit X states [J]. Physical Review A, 2010, 81(4): 042105.
[33]	Marian P, Marian T A. Optimal purifications and fidelity for displaced thermal states [J]. Physical Review A, 2007, 76(5):
05	4307.
[34]	Breuer H P, Laine E M, Piilo J. Measure for the degree of non-Markovian behavior of quantum processes in open systems [J].
	Physical Review Letters, 2009, 103(21): 210401.
[35]	Laine E M, Piilo J, Breuer H P. Measure for the non-Markovianity of quantum processes [J]. Physical Review A, 2010, 81(6):
06	2115.
[36]	Liu B H, Li L, Huang Y F, et al. Experimental control of the transition from Markovian to non-Markovian dynamics of open
	quantum systems [J]. Nature Physics, 2011, 7(12): 931-934.

Non-classical correlations and quantum state transfer in nonlinear atom-cavity-fiber system with Kerr medium

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