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利用量子相干性判定开放二能级系统中非马尔可夫性∗

贺志 李莉 姚春梅 李艳

物理学报Issue(14):1-8,8.
物理学报Issue(14):1-8,8.DOI:10.7498/aps.64.140302

利用量子相干性判定开放二能级系统中非马尔可夫性∗

Non-Markovianity of op en two-level system by means of quantum coherence

贺志 1李莉 1姚春梅 1李艳1

作者信息

  • 1. 湖南文理学院物理与电子科学学院,常德 415000
  • 折叠

摘要

Abstract

We propose an approach to measuring non-Markovianity of an open two-level system from quantum coherence perspective including l1 norm of coherence and quantum relative entropy of coherence, and derive corresponding non-Markovian conditions. Further, as a particular application, non-Markovian conditions of an open two-level system undergoing phase damping channel, random unitary channel and amplitude damping channel, respectively are investi-gated. Specifically speaking, for the three channels we obtain non-Markovian conditions based on l1 norm of coherence at any initial state of system, and find that non-Markovian conditions are the same as the conditions of other mea-surements, i.e., information back-flow, divisibility and quantum mutual entropy for the phase damping channel and amplitude damping channel, but non-Markovian conditions new and different from the conditions of other measurements for random unitary channel. On the other hand, for phase damping channel we obtain non-Markovian conditions based on quantum relative entropy of coherence at any initial state of system, which are the same as the conditions of other measures, i.e., information back-flow, divisibility and quantum mutual entropy. However, for the random unitary channel and amplitude damping channel we obtain non-Markovian conditions at maximally coherent state of system.

关键词

开放二能级系统/非马尔可夫性/l1 norm相干性/量子相对熵相干性

Key words

open two-level systems/non-Markovianity/l1 norm of coherence/quantum relative entropy of coherence

引用本文复制引用

贺志,李莉,姚春梅,李艳..利用量子相干性判定开放二能级系统中非马尔可夫性∗[J].物理学报,2015,(14):1-8,8.

基金项目

国家自然科学基金(批准号61475045,11404111)、湖南省自然科学基金青年项目(批准号2015JJ3092)、湖南省教育厅一般项目(批准号12C0826)和湖南文理学院重点项目(批准号14ZD01)资助的课题.@@@@* Project supported by the National Natural Science Foundation of China (Grant Nos.61475045,11404111), the Natural Science Foundation of Hunan Province, China (Grant No.2015JJ3092), the Research Foundation of Education Bureau of Hunan Province, China (Grant No.12C0826), and the School Foundation from the Hunan University of Arts and Science, China (Grant No.14ZD01) (批准号61475045,11404111)

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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