论文标题

关于量子开发过程的经典性

On the classicality of quantum dephasing processes

论文作者

Lonigro, Davide, Chruściński, Dariusz

论文摘要

我们分析了与纯粹测量的纯dephasing系统相关的多时间统计数据,并搜索了统计数据满足Kolmogorov一致性条件可能达到有限顺序的测量协议。我们发现可以用古典术语来解释的量子驱动过程的丰富现象学。特别是,如果基本的分类过程是马尔可夫人,我们发现可以找到每个顺序的经典性的足够条件:可以通过选择倾向和测量基础以完全兼容或完全不兼容来达到这一点,即相互无偏见的基础(Mubs)。对于非马克维亚过程,只有在完全兼容的情况下才能证明经典性,从而揭示了马尔可夫人和非马克维亚纯纯粹的dephasing过程之间的关键差异。

We analyze the multitime statistics associated with pure dephasing systems repeatedly probed with sharp measurements, and search for measurement protocols whose statistics satisfies the Kolmogorov consistency conditions possibly up to a finite order. We find a rich phenomenology of quantum dephasing processes which can be interpreted in classical terms. In particular, if the underlying dephasing process is Markovian, we find sufficient conditions under which classicality at every order can be found: this can be reached by choosing the dephasing and measurement basis to be fully compatible or fully incompatible, that is, mutually unbiased bases (MUBs). For non-Markovian processes, classicality can only be proven in the fully compatible case, thus revealing a key difference between Markovian and non-Markovian pure dephasing processes.

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