Bloch表示中单量子比特的量子相干性
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  • 英文篇名:Quantum Coherence of Single Quantum Bit in Bloch Representation
  • 作者:彭柯铭 ; 王国友 ; 陈健 ; 谭金桃 ; 邓志宏 ; 陈光伟
  • 英文作者:PENG Keming;WANG Guoyou;CHEN Jian;TAN Jintao;DENG Zhihong;CHEN Guangwei;College of Science,Hunan University of Technology;
  • 关键词:Bloch表示 ; l_1 ; norm相干性 ; 量子相对熵相干性 ; 退相干通道
  • 英文关键词:Bloch representation;;l_1 norm of coherence;;relative entropy of coherence;;decoherence channel
  • 中文刊名:ZZGX
  • 英文刊名:Journal of Hunan University of Technology
  • 机构:湖南工业大学理学院;
  • 出版日期:2019-05-07 11:12
  • 出版单位:湖南工业大学学报
  • 年:2019
  • 期:v.33;No.175
  • 基金:国家自然科学基金资助项目(11275064,11747104);; 湖南省自然科学基金资助项目(2016JJ2045);; 湖南省教育厅科研基金资助项目(16C0469)
  • 语种:中文;
  • 页:ZZGX201902014
  • 页数:5
  • CN:02
  • ISSN:43-1468/T
  • 分类号:81-85
摘要
研究了Bloch表示中单量子比特的l_1 norm相干性和量子相对熵相干性,分别得到了相位阻尼通道、退极化通道和振幅阻尼通道下的两种相干性的解析表达式。作为它们的具体应用,解析研究了振幅阻尼通道下的一个单量子比特的量子相干性动力学演化,并数值分析了马尔科夫和非马尔科夫环境对系统的相干性演化的影响。
        A research has been conducted on the l_1 norm coherence and quantum relative entropy coherence of single quantum bit in Bloch representation, thus obtaining two analytical expressions of coherence for phase damping channel, depolarization channel and amplitude damping channel respectively. As a speci?c application, an analytical study has been made on the dynamic evolution of quantum coherence of a single quantum bit in an amplitude-damped channel, followed by a numerical analysis of the in?uences of Markovian as well as non-Markovian environments on the coherence evolution of the system.
引文
[1]BAUMGRATZ T,CRAMER M,PLENIO M B.Quantifying Coherence[J].Phys.Rev.Lett.,2014,113(14):140401.
    [2]SHAO L H,XI Z J,FAN H,et al.Fidelity and TraceNorm Distances for Quantifying Coherence[J].Phys.Rev.A,2015,91(4):042120.
    [3]RANA S,PARASHAR P,LEWENSTEIN M.TraceDistance Measure of Coherence[J].Phys.Rev.A,2016,93(1):012110.
    [4]STRELTSOV A,SINGH U,DHAR H S,et al.Measuring Quantum Coherence with Entanglement[J].Phys.Rev.Lett.,2015,115(2):020403.
    [5]MA J J,YADIN B,GIROLAMI D,et al.Converting Coherence to Quantum Correlations[J].Phys.Rev.Lett.,2016,116(16):160407.
    [6]DAVIDE G.Observable Measure of Quantum Coherence in Finite Dimensional Systems[J].Phys.Rev.Lett.,2014,113(17):170401.
    [7]PIRES D P,CéLERI L C,SOARES-PINTO D O.Geometric Lower Bound for a Quantum Coherence Measure[J].Phys.Rev.A,2015,91(4):042330.
    [8]WINTER A,YANG D.Operational Resource Theory of Coherence[J].Phys.Rev.Lett.,2016,116(12):120404.
    [9]SINGH U,BERA M N,DHAR H S,et al.Maximally Coherent Mixed States:Complementarity between Maximal Coherence and Mixedness[J].Phys.Rev.A,2015,91(5):052115.
    [10]NIELSEN M A,CHUANG I L.Quantum Computation and Quantum Information[M].Cambridge:Cambridge University Press,2010:374-385.
    [11]ZHONG W,SUN Z,MA J,et al.Fisher Information Under Decoherence in Bloch Representation[J].Phys.Rev.A,2013,87(2):022337.
    [12]王国友,夏湘芳,彭柯铭,等.量子退相位通道中量子Fisher信息动力学[J].湖南工业大学学报,2015,29(1):98-101.WANG Guoyou,XIA Xiangfang,PENG Keming,et al.Dynamics of Quantum Fisher Information Under Pure Dephasing Channel[J].Journal of Hunan University of Technology,2015,29(1):98-101.
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