论文标题

隐藏的量子内存:有人看时那里的内存吗?

Hidden Quantum Memory: Is Memory There When Somebody Looks?

论文作者

Taranto, Philip, Elliott, Thomas J., Milz, Simon

论文摘要

在古典物理学中,无内存动态和马尔可夫统计是相同的。对于量子动力学而言,这是不正确的,首先是量子测量值是侵入性的。超越了测量的侵入性,在这里,我们得出了经典过程和量子过程之间的新区别,即隐藏量子记忆的可能性。虽然马尔可夫的经典过程统计始终可以通过无内存的动力学模型来复制,但我们的主要结果表明,这在量子力学中并非如此:我们首先提供了量子非马克维亚性的示例,其表现取决于是否执行先前的测量 - 对无内存动力学的不可能的现象;然后,我们通过证明马尔可夫独立于探测方式的统计数据来加强这一结果,但仍然与无内存的量子动力学不相容。因此,我们通过探测一个量子过程,从根本上需要记忆来创建,我们建立了马尔可夫统计的存在。

In classical physics, memoryless dynamics and Markovian statistics are one and the same. This is not true for quantum dynamics, first and foremost because quantum measurements are invasive. Going beyond measurement invasiveness, here we derive a novel distinction between classical and quantum processes, namely the possibility of hidden quantum memory. While Markovian statistics of classical processes can always be reproduced by a memoryless dynamical model, our main result shows that this is not true in quantum mechanics: We first provide an example of quantum non-Markovianity whose manifestation depends on whether or not a previous measurement is performed -- an impossible phenomenon for memoryless dynamics; we then strengthen this result by demonstrating statistics that are Markovian independent of how they are probed, but are nonetheless still incompatible with memoryless quantum dynamics. Thus, we establish the existence of Markovian statistics gathered by probing a quantum process that nevertheless fundamentally require memory for their creation.

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