Quantifying quantum non-Markovianity based on quantum coherence via skew information
Quantifying quantum non-Markovianity based on quantum coherence via skew information
复制标题
通过偏斜信息基于量子相干性量化量子非马尔可夫性
DOI：
10.1088/1612-202x/ab5fe3
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发表时间：
2020
影响因子：
1.7
通讯作者：
Fei Shao-Ming
中科院分区：
文献类型：
--
作者：
Shao Lian-He;Zhang Yu-Ran;Luo Yu;Xi Zhengjun;Fei Shao-Ming
基于非相干完全正映射和保迹映射下量子相干性通过斜信息的非增性质，提出了一种开放量子过程的非马尔可夫性测度。作为应用，将该测度应用于几种典型的噪声信道，发现该测度等价于先前的三种相位阻尼和振幅阻尼信道的非马尔可夫性测度，即基于量子迹距离、动力学可分性和量子互信息的测度.对于随机幺正信道，它等价于一类输出状态的基于相干性l1范数的非马尔可夫性测度，而不完全等价于基于动力学可分性的测度。我们还利用修正的Tsallis相对相干熵检测了量子开放系统动力学的非马尔可夫性，结果表明修正的Tsallis相对相干熵比原Tsallis相对相干熵更适合小的情况。
Based on the nonincreasing property of quantum coherence via skew information under incoherent completely positive and trace-preserving maps, we propose a non-Markovianity measure for open quantum processes. As applications, by applying the proposed measure to some typical noisy channels, we find that it is equivalent to the three previous measures of non-Markovianity for phase damping and amplitude damping channels, i.e. the measures based on the quantum trace distance, dynamical divisibility, and quantum mutual information. For the random unitary channel, it is equivalent to the non-Markovianity measure based on l1 norm of coherence for a class of output states and it is incompletely equivalent to the measure based on dynamical divisibility. We also use the modified Tsallis relative entropy of coherence to detect the non-Markovianity of dynamics of quantum open systems, the results show that the modified Tsallis relative entropy of coherence are more comfortable than the original Tsallis relative entropy of coherence for small .