论文标题
随机与周期性量子碰撞模型
Stochastic versus periodic quantum collision models
论文作者
论文摘要
关于量子碰撞模型（CMS）的大多数文献通常都会考虑周期性的弱碰撞，这些碰撞具有固定的等待时间。一些作品尚未随机等待时间和强烈的碰撞（随机CMS）解决了CM。这篇简短的论文讨论了如何将这两种类型的模型产生的开放动态彼此正式映射。这可以通过构建相关的周期性CM来使给定的随机CM实现这一目标，从而使前者的等待时间随机性变成了Ancilla后者初始状态的混合性，同时引入了Ancilla的附加状态。通过此映射，由限制数量的正规碰撞产生的非马克维亚行为可以与相关周期性CM的初始Ancilla-ancilla相关性相关。
Most literature on quantum collision models (CMs) usually considers periodic weak collisions featuring a fixed waiting time between two next collisions. Some works have yet addressed CMs with random waiting time and strong collisions (stochastic CMs). This short paper discusses how the open dynamics arising from these two types of models can be formally mapped with one another. This can be achieved for a given stochastic CM by constructing an associated periodic CM such that the waiting time randomness of the former is turned into the mixedness of the ancilla's initial state of the latter, introducing at the same time an additional state of the ancilla. Through this mapping, non-Markovian behaviour arising from a constrained number of stochatic collisions can be linked to initial ancilla-ancilla correlations of the associated periodic CM.
