标题： 通过不确定性关系检测非马尔可夫性 显示英文标题

标题： Detecting non-Markovianity via uncertainty relations

摘要： 我们提出了一种通过不确定性关系检测非马尔可夫性的形式化方法。 我们表明，当通过破坏CP可分性，系统从其环境中有信息回流时，对应于约化系统演化的乔伊态至少包含一个负特征值。 这种状态下不确定性关系的崩溃可以用来见证非马尔可夫动力学。 我们给出了一些关于量子比特信道中该现象的相关示例。 我们进一步证明，适当厄米特算符方差的平方可以作为非马尔可夫性的非线性见证。 我们最终表明，为了减少经历幺正动力学的量子比特状态的不确定性，非马尔可夫性是必要的。 这提供了另一种认证非马尔可夫性的方法。 显示英文摘要

摘要： We present a formalism for detection of non-Markovianity through uncertainty relations. We show that when there is an information back-flow to the system from its environment through CP-divisibility breaking, the Choi-states corresponding to the reduced system evolution contain at least one negative eigenvalue. The consequent break down of uncertainty relations for such states can be used to witness non-Markovian dynamics. We present some relevant examples of the phenomenon for qubit channels. We further prove that square of the variance of a suitable hermitian operator can act as a non-linear witness of non-Markovianity. We finally show that non-Markovianity is necessary in order to decrease the uncertainty of the states undergoing unital dynamics for qubits. This provides another method of certifying non-Markovianity.