利用单Jaynes-Cummings原子与孤立原子系统实现量子稠密编码
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摘要
利用单J-C二能级原子和孤立原子构成的模型,研究了该模型中量子稠密编码的实现。详细讨论了两原子处于W态时的纯度,两原子间初始纠缠度及光子数等系统参量对稠密编码信道容量的影响。计算结果表明,通过提高初始态的纯度及纠缠度可以提高稠密编码信道容量。尤其是在腔中光子数为零时,还可以实现最优稠密编码,而光子数为非零时,信道容量随时间振荡衰减。
This paper mainly studied quantum dense coding via a model of single J-C two-level atom A plus an isolated atom B.The effects of the initial Werner-like state purity,initial entanglement and photon number on the channel capacity of dense coding were discussed.The results showed that channel capacity increased as the initial purity and entanglement increased Particularly,optimal dense coding can be realized when the photon number is zero.For the nonzero photon number,the channel capacity shows a damping oscillation.
This paper mainly studied quantum dense coding via a model of single J-C two-level atom A plus an isolated atom B.The effects of the initial Werner-like state purity,initial entanglement and photon number on the channel capacity of dense coding were discussed.The results showed that channel capacity increased as the initial purity and entanglement increased Particularly,optimal dense coding can be realized when the photon number is zero.For the nonzero photon number,the channel capacity shows a damping oscillation.
引文
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[17]周霞,张远坤,王继成.Jaynes-Cumming模型中几种量子纠缠测量熵的比较[J].光电子技术,2014,34(1).
[18]赵加强,曹连振,逯怀新.非线性Jaynes-Cummings模型纠缠演化和最大纠缠态产生[J].量子电子学报,2014,31(5).
[19]杜少将,夏云杰.双J-C模型中两原子的纠缠动力学特征[J].量子光学学报,2012,18(2).
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[22]Deng Xiao-juan,Fang Mao-fa,Kang Guo-dong.Entanglement Dynamics between an Isolated Atom and a Moving Atom in the Cavity[J].Chin Phys B,2009,18(10):4100-4104.
[23]Li Zhi-jian,Li Jun-qi,Jin Yan-hong,et al.Time Evolution and Transfer of Entanglement between an Isolated Atom and a Jaynes-Cummings Atom[J].J Phys B At Mol Opt Phys,2007,40(17):3401-3411(11).
[2]Bennett C H,Brassard G,Crepeau C,et al.Teleporting an Unknown Quantum Statevia Dual Classical and EinsteinPodolsky-Rosen Channels[J].Phys Rev Lett,1993,70(13):1895-1899.
[3]Ekert A K.Quantum Cryptography Based on Bell's Theorem[J].Phys Rev Lett,1991,67(6):661-663.
[4]Holevo A S.Some Est Imates of the Information Transmitted By Quantum Communication Channel[J].Probl Inf Transm,1973(9):177-83.
[5]Hiroshima T.Optimal Dense Coding with Mixed State Entanglement[J].J Phys A Math Gen,2001,34(35):6907-6912(6).
[6]Holevo A S.The Capacity of the Quantum Channel with Genaral Signal States[J].Ieee T Inform Theory,1998,44(1):269-273.
[7]Schumacher,Westmoreland.Sending Classical Information via Noisy Quantum Channels[J].Phys Lett A,1997,56(1):131-138.
[8]Bose S,Plenio M B,Vedral V.Mixed State Dense Coding and Its Relation to Entanglement Measures[J].J Mod Optic,2000,47(2):291-310.
[9]Qiu Liang,Wang An-min,Su Xiao-qiang,et al.Effect of Dzyaloshinskii—Moriya Anisotropic Antisymmetric Interaction on Optimal Dense Coding[J].Phys Scr,2009(1):015005.
[10]Zhang Guo-feng.Effects of Anisotropy on Optimal Dense Coding[J].Phys Scr,2009,79(2).
[11]Sulayiman Simayi,Aihemaiti Abulizi,Mushajiang Yaermaimaiti,et al.Dense Coding with a Two-qubit Heisenberg XYZ Chain under the Influence of Phase Decoherence[J].Chin Phys B,2011,20(5):65-69.
[12]Cai Jiang-tao,Abliz Ahmad,Bai Yan-kui,et al.Effects of Dzyaloshinskii—Moriya Interaction on Optimal Dense Coding Using a Two-Qubit Heisenberg Chain with and without External Magnetic Field[J].Chin Phys Lett,2011,28(2):020307.
[13]Huang H.Entanglement and Optimal Dense Coding in Spin Chain with an Arbitrary Magnetic Field[J].Int J Theor Phys,2009,48(12):3491-3497.
[14]Mattle K,Weinfurter H,Kwiat P G,et al.Dense Coding in Experimental Quantum Communication[J].Phys Rev Lett,1996,76(25):4656-4659.
[15]Agrawal P,Pati A.Perfect Teleportation and Superdense Coding With W-States[J].Phys Rev A,2006,74(6):154-154.
[16]张竞夫,谢竞祎,邓志威,等.应用Bell态叠加态的量子稠密编码方案及其核磁共振实现[J].中国科学,2004,34(5):502-512.
[17]周霞,张远坤,王继成.Jaynes-Cumming模型中几种量子纠缠测量熵的比较[J].光电子技术,2014,34(1).
[18]赵加强,曹连振,逯怀新.非线性Jaynes-Cummings模型纠缠演化和最大纠缠态产生[J].量子电子学报,2014,31(5).
[19]杜少将,夏云杰.双J-C模型中两原子的纠缠动力学特征[J].量子光学学报,2012,18(2).
[20]韩峰,夏云杰,杜少将.粒子数场对双原子纠缠演化的影响[J].量子光学学报,2009,15(4):313-320.
[21]卢道明.三Jaynes-Cummings模型中原子的纠缠特性[J].光电子·激光,2013(1).
[22]Deng Xiao-juan,Fang Mao-fa,Kang Guo-dong.Entanglement Dynamics between an Isolated Atom and a Moving Atom in the Cavity[J].Chin Phys B,2009,18(10):4100-4104.
[23]Li Zhi-jian,Li Jun-qi,Jin Yan-hong,et al.Time Evolution and Transfer of Entanglement between an Isolated Atom and a Jaynes-Cummings Atom[J].J Phys B At Mol Opt Phys,2007,40(17):3401-3411(11).