论文标题
对于与环境相互作用的开放量子系统减少动态的必要条件
Necessary and sufficient condition for the reduced dynamics of an open quantum system interacting with an environment to be linear
论文作者
论文摘要
显然，在单一时间演变$ u $下，封闭量子系统的动力学显然是线性的。但是，与环境$ e $交互的开放量子系统$ s $的动态减少不是线性的。 Dominy等。 [量化。 inf。过程。 15，465（2016）]考虑了以下情况：System-Environments可能的初始状态是凸的，也具有另一个属性。他们表明，在这种情况下，系统$ s $的动态减少是线性的。统治式灯笼框架是否是最一般的框架是本文的主题。我们假设减少的动态是线性的，并表明这使我们进入了他们的框架。换句话说，系统的减少动力学是线性的，并且仅当它可以在Dominy-Shabani-LiDar框架内配制时。
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.
