论文标题
热碰撞模型的波函数实现
Wave function realization of a thermal collision model
论文作者
论文摘要
提出了一种有效的算法来模拟开放量子系统的动力学。该方法通过揭开将随机波函数收敛到密度运算符描述来描述动力学。随机技术基于量子碰撞模型。通过波函数对系统动力学进行建模，并与环境与碰撞序列进行建模可显着降低复杂性量表。开发的算法可以在量子计算机上实现。我们介绍了利用模型的统计特征的随机方法，例如马克维亚语，布朗运动和二元分布。采用中心极限定理来研究以波量表示的纯量子状态的随机动力学分布的收敛。通过平均在分布中的功能样本，我们证明并证明了动力学与密度算子描述的混合量子状态的收敛性。
An efficient algorithm to simulate dynamics of open quantum system is presented. The method describes the dynamics by unraveling stochastic wave functions converging to a density operator description. The stochastic techniques are based on the quantum collision model. Modeling systems dynamics by wave functions and modeling the interaction with the environment with a collision sequence reduces the complexity scale significantly. The algorithm developed, can be implemented on quantum computers. We introduce stochastic methods that exploit statistical characters of the model, as Markovianity, Brownian motion and binary distribution. The central limit theorem is employed to study the convergence of distributions of stochastic dynamics of pure quantum states represented by wave vectors. By averaging a sample of functions in the distribution we prove and demonstrate the convergence of the dynamics to the mixed quantum state described by a density operator.
