标题： 开放系统动力学中量子记忆的熵学见证 显示英文标题

标题： Entropic witness for quantum memory in open system dynamics

摘要： 开放量子系统的动力学通常由非马尔可夫过程建模，这些过程考虑了环境相互作用引起的记忆效应。众所周知，环境提供的记忆可以是经典或量子性质的。值得注意的是，可以通过仅对开放系统进行测量来局部地见证记忆的量子性，而无需访问环境。然而，现有的见证方法对于超过量子比特的系统来说计算上具有挑战性。在本工作中，我们提出了一种基于冯·诺依曼熵的可处理的量子记忆准则，该准则对于任何维度的系统都易于计算。使用此见证，我们研究了一类物理上有动机的有限维量子比特动力学中的记忆本质。此外，我们证明该准则也适用于检测连续变量系统中的量子记忆。作为示例，我们分析了阻尼谐振子的非马尔可夫高斯动力学。 显示英文摘要

摘要： The dynamics of open quantum system are often modeled by non-Markovian processes that account for memory effects arising from interactions with the environment. It is well-known that the memory provided by the environment can be classical or quantum in nature. Remarkably, the quantumness of the memory can be witnessed locally by measurements on the open system alone, without requiring access to the environment. However, existing witnesses are computationally challenging for systems beyond qubits. In this work, we present a tractable criterion for quantum memory based on the von Neumann entropy, which is easily computable for systems of any dimension. Using this witness, we investigate the nature of memory in a class of physically motivated finite-dimensional qudit dynamics. Moreover, we demonstrate that this criterion is also suitable for detecting quantum memory in continuous-variable systems. As an illustrative example, we analyze non-Markovian Gaussian dynamics of a damped harmonic oscillator.