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arXiv 2003.00460quant-ph
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与环境相互作用的开放量子系统约化动力学为线性的充要条件

Necessary and sufficient condition for the reduced dynamics of an open quantum system interacting with an environment to be linear

Iman Sargolzahi

备注：
7 pages. The title is changed to match the published version
发表信息：
Phys. Rev. A 102, 022208 (2020)
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摘要：

在幺正时间演化$U$下，封闭量子系统的动力学显然是线性的。但是，与环境$E$相互作用的开放量子系统$S$的约化动力学一般不是线性的。Dominy等人[Quant.信息处理。15，465（2016）]考虑了系统环境的可能初始状态的集合$\mathcal{S}=\lbraceρ_{SE}\rbrace$是凸的并且还具有另一个属性的情况，他们称之为$U$ -一致性。他们已经表明，在这种情况下，系统$S$的简化动力学是线性的。Dominy-Shabani-Lidar框架是否是最普遍的框架是本文的主题。我们假设，减少的动态是线性的，并表明，这导致我们到他们的框架。换句话说，系统的简化动力学是线性的，当且仅当它可以在Dominy-Shabani-Lidar框架内公式化。

英文摘要：

The dynamics of a closed quantum system, under a unitary time evolution $U$, is, obviously, linear. But, the reduced dynamics of an open quantum system $S$, interacting with an environment $E$, is not linear, in general. Dominy et al. [Quant. Inf. Process. 15, 465 (2016)] considered the case that the set $\mathcal{S}=\lbraceρ_{SE}\rbrace$, of possible initial states of the system-environment, is convex and, also, possesses another property, which they called $U$-consistency. They have shown that, under such circumstances, the reduced dynamics of the system $S$ is linear. Whether the Dominy-Shabani-Lidar framework is the most general one is the subject of this paper. We assume that the reduced dynamics is linear and show that this leads us to their framework. In other words, the reduced dynamics of the system is linear if and only if it can be formulated within the Dominy-Shabani-Lidar framework.

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