从海森堡到薛定谔图像：量子随机过程和过程张量
From the Heisenberg to the Schrödinger Picture: Quantum Stochastic Processes and Process Tensors
摘要：
量子随机过程的一般理论是由Accardi、Frigerio和Lewis在1982年在量子概率论的算子代数框架内建立的，作为Kolmogorovian经典随机过程的非交换扩展。最近，对非马尔可夫量子过程的研究导致了薛定谔图像中的离散时间过程张量形式，以描述开放量子系统上顺序干预的结果。然而，还没有处理的关系的过程张量形式主义的量子概率论的量子随机过程。本文阐述了量子随机过程和过程张量以及它们之间的关系。特别是，它示出了后者是如何从前者通过扩展的相关内核，将ancillas。
英文摘要：
A general theory of quantum stochastic processes was formulated by Accardi, Frigerio and Lewis in 1982 within the operator-algebraic framework of quantum probability theory, as a non-commutative extension of the Kolmogorovian classical stochastic processes. More recently, studies on non-Markovian quantum processes have led to the discrete-time process tensor formalism in the Schrödinger picture to describe the outcomes of sequential interventions on open quantum systems. However, there has been no treatment of the relationship of the process tensor formalism to the quantum probabilistic theory of quantum stochastic processes. This paper gives an exposition of quantum stochastic processes and the process tensor and the relationship between them. In particular, it is shown how the latter emerges from the former via extended correlation kernels incorporating ancillas.
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