Assessing Non-Markovian Quantum Dynamics
Assessing Non-Markovian Quantum Dynamics
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DOI：
10.1103/physrevlett.101.150402
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发表时间：
2008-10-10
影响因子：
8.6
通讯作者：
Cirac, J. I.
中科院分区：
文献类型：
--
作者：
Wolf, M. M.;Eisert, J.;Cirac, J. I.
我们调查了量子进化的快照-反映开放系统动力学的量子通道-揭示了潜在的连续时间进化。值得注意的是，从这样的快照中，在不强加额外假设的情况下，可以确定一个信道是否与依赖于时间的马尔可夫演化一致，为此，我们提供了可计算的充要准则。在此基础上，提出了一种可计算的“马尔可夫性”度量。我们讨论了如何在量子过程层析成像中检验与马尔可夫动力学的一致性。结果还阐明了量子通道集相对于依赖于时间的主方程的解的几何性质。
We investigate what a snapshot of a quantum evolution-a quantum channel reflecting open system dynamics-reveals about the underlying continuous time evolution. Remarkably, from such a snapshot, and without imposing additional assumptions, it can be decided whether or not a channel is consistent with a time (in)dependent Markovian evolution, for which we provide computable necessary and sufficient criteria. Based on these, a computable measure of "Markovianity" is introduced. We discuss how the consistency with Markovian dynamics can be checked in quantum process tomography. The results also clarify the geometry of the set of quantum channels with respect to being solutions of time (in)dependent master equations.