论文标题
非马克维亚性的熵和痕量距离量度
Entropic and trace distance based measures of non-Markovianity
论文作者
论文摘要
我们分析和比较开放量子系统动力学中非摩洛维亚程度的不同度量。这些度量基于量子状态的区分性，一方面是通过痕量距离或更一般地按照Helstrom矩阵的痕量标准来量化的，另一方面，通过熵量化剂：Jensen-Shannon Divergence，holevo，holevo，holevo或fastem skew skew差异。我们明确构建了基于痕量标准的非马克维亚度度量的量子动力学，而所有熵措施均为零。这得出了一个令人惊讶的结论，即采用Helstrom矩阵的痕量标准的非马克维亚度度量严格比所有熵的非马克维亚性测量值都强。
We analyze and compare different measures for the degree of non-Markovianity in the dynamics of open quantum systems. These measures are based on the distinguishability of quantum states which is quantified, on the one hand, by the trace distance or, more generally, by the trace norm of the Helstrom matrix, and, on the other hand, by entropic quantifiers: the Jensen-Shannon divergence, the Holevo or the quantum skew divergence. We explicitly construct a qubit dynamics for which the trace norm based non-Markovianity measure is nonzero, while all the entropic measures turn out to be zero. This leads to the surprising conclusion that the non-Markovianity measure which employs the trace norm of the Helstrom matrix is strictly stronger than all entropic non-Markovianity measures.
