作为量子格子气自动机的与历史相关的量子随机游动
History Dependent Quantum Random Walks as Quantum Lattice Gas Automata
摘要：
量子无规游动（QRW）首先被定义为量子格子气自动机（QLGA）的单粒子扇区。最近，它们已经被推广到包括历史依赖性，无论是对以前的硬币（内部，即，自旋或速度）状态或先前位置状态。这些模型的目标是研究向经典的过渡，或者更一般地说，研究量子行走在算法应用中的性能变化。我们发现，几个历史依赖的QRW可以被确定为QLGA的单粒子部门。这为这些模型提供了一个统一的概念框架，其中存储历史信息所需的额外自由度自然地作为晶格上的几何自由度出现。
英文摘要：
Quantum Random Walks (QRW) were first defined as one-particle sectors of Quantum Lattice Gas Automata (QLGA). Recently, they have been generalized to include history dependence, either on previous coin (internal, i.e., spin or velocity) states or on previous position states. These models have the goal of studying the transition to classicality, or more generally, changes in the performance of quantum walks in algorithmic applications. We show that several history dependent QRW can be identified as one-particle sectors of QLGA. This provides a unifying conceptual framework for these models in which the extra degrees of freedom required to store the history information arise naturally as geometrical degrees of freedom on the lattice.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
