论文标题
非自动量子细胞自动机中的信息流
Information Flow in Non-Unitary Quantum Cellular Automata
论文作者
论文摘要
量子系统中的信息流是其动力学的基本特征。重要的动力学类别是量子蜂窝自动机（QCA），该系统在时间和空间中不变，为此，已经提出了索引理论以量化跨边界的量子信息的净流。尽管在有限的本地电路下，该索引在开始不变的意义上是刚性的，但是当系统耦合到环境时，即对于开放量子系统的非单独时间演变时，该索引并未定义。我们提出了一个非自动QCA的信息流的新度量，表示不刚性的信息电流，但可以根据地图的矩阵 - 产品运算符代表来在本地计算。
The information flow in a quantum system is a fundamental feature of its dynamics. An important class of dynamics are quantum cellular automata (QCA), systems with discrete updates invariant in time and space, for which an index theory has been proposed for the quantification of the net flow of quantum information across a boundary. While the index is rigid in the sense of begin invariant under finite-depth local circuits, it is not defined when the system is coupled to an environment, i.e. for non-unitary time evolution of open quantum systems. We propose a new measure of information flow for non-unitary QCA denoted the information current which is not rigid, but can be computed locally based on the matrix-product operator representation of the map.
