论文标题

基于量子相干性,通过偏斜信息来量化量子非马克维亚性

Quantifying quantum non-Markovianity based on quantum coherence via skew information

论文作者

Shao, Lian-He, Zhang, Yu-Ran, Luo, Yu, Xi, Zhengjun, Fei, Shao-Ming

论文摘要

基于量子相干性通过偏差信息在不一致的完全正面和痕量保护图下的量子相干性的非发育特性,我们提出了针对开放量子过程的非摩洛维亚度度量。作为应用,通过将提出的度量应用于某些典型的嘈杂通道,我们发现它等同于以前的三种非马克维亚性措施,用于相阻尼和振幅阻尼通道,即基于量子痕迹距离,动态分裂性和量子互信息的度量。对于随机统一通道,它等同于基于一类输出状态的$ L_1 $相干性规范的非马克维亚度度量,并且不完全等同于基于动态划分的度量。我们还使用改良的tsallis相对$α$连贯性的熵来检测量子开放系统动态的非马克维亚性,结果表明,经过修改的Tsallis相对$α$连贯性的熵比原始的Tsallis相对$α$ the $α$ the CoceRence of CoceRence of Small $ $ $ limecy $ lime。

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 $l_1$ 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 $α$ entropy of coherence to detect the non-Markovianity of dynamics of quantum open systems, the results show that the modified Tsallis relative $α$ entropy of coherence are more comfortable than the original Tsallis relative $α$ entropy of coherence for small $α$.

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