School of Physics and Astronomy, Monash University, Clayton, Victoria 3800, Australia.
Bremen Center for Computational Materials Science, University of Bremen, Am Fallturm 1, D-28359 Bremen, Germany.
Phys Rev Lett. 2018 Jan 26;120(4):040405. doi: 10.1103/PhysRevLett.120.040405.
We derive a necessary and sufficient condition for a quantum process to be Markovian which coincides with the classical one in the relevant limit. Our condition unifies all previously known definitions for quantum Markov processes by accounting for all potentially detectable memory effects. We then derive a family of measures of non-Markovianity with clear operational interpretations, such as the size of the memory required to simulate a process or the experimental falsifiability of a Markovian hypothesis.
我们推导出量子过程是马尔可夫过程的一个必要且充分的条件，该条件在相关极限下与经典情况一致。我们的条件通过考虑所有潜在可检测的记忆效应，统一了所有以前已知的量子马尔可夫过程的定义。然后，我们推导出一系列非马尔可夫性的度量，这些度量具有清晰的操作解释，例如模拟过程所需的记忆大小或马尔可夫假设的实验可证伪性。
