Correlation measure detecting almost all non-Markovian evolutions
Correlation measure detecting almost all non-Markovian evolutions
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DOI：
10.1103/physreva.99.012303
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发表时间：
2018-05
影响因子：
2.9
通讯作者：
D. D. Santis-D.;Markus Johansson;B. Bylicka;N. K. Bernardes;A. Ac'in
中科院分区：
文献类型：
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作者：
D. D. Santis-D.;Markus Johansson;B. Bylicka;N. K. Bernardes;A. Ac'in
我们考察了关联度量见证非马尔科夫开放量子系统动力学的能力。结果表明，系统与Ancilla之间的互信息和任何纠缠度量并不完全遵循非马尔科夫动力学。引入了一种相关度量，并证明了在具有两个辅助系统的扩大设置下，该度量可以检测几乎所有的非马尔可夫动力学，除了在有限时间间隔内可能是非双射的动力学的零测集。我们的证明是建设性的，并提供了检测非马尔可夫演化的不同初始状态。这些状态都是可分离的，其中一些状态与产品状态任意接近。引入的相关性度量的另一个优点是它可以通过半定规划有效地计算。
We investigate the ability of correlation measures to witness non-Markovian open-quantum-system dynamics. It is shown that the mutual information and any entanglement measure between the system and an ancilla do not witness all non-Markovian dynamics. A correlation measure is introduced, and it is proven that, in an enlarged setting with two ancillary systems, this measure detects almost all non-Markovian dynamics, except possibly a zero-measure set of dynamics that is nonbijective in finite time intervals. Our proof is constructive and provides different initial states detecting the non-Markovian evolutions. These states are all separable and some are arbitrarily close to a product state. A further advantage of the introduced correlation measure is that it can be efficiently computed through semidefinite programming.