论文标题
如何使用量子步行计算
How to Compute Using Quantum Walks
论文作者
论文摘要
量子步行被广泛而成功地用于建模各种物理过程。这导致了模型的计算,以探索它们的属性。量子步行也已显示为量子计算是通用的。这是一个比通常所欣赏的更微妙的结果,因为它适用于单个沃克案中基于Qubit的量子计算机运行的计算,并且在多步行案例(量子蜂窝自动机)中进行了物理量子行走。尽管如此,正确应用时,量子步行是用于量子计算的强大工具。在本文中,我解释了作为模型和量子步行作为计算工具的量子步行之间的关系,并在这两种情况下给出了它们应用的一些示例。
Quantum walks are widely and successfully used to model diverse physical processes. This leads to computation of the models, to explore their properties. Quantum walks have also been shown to be universal for quantum computing. This is a more subtle result than is often appreciated, since it applies to computations run on qubit-based quantum computers in the single walker case, and physical quantum walks in the multi-walker case (quantum cellular automata). Nonetheless, quantum walks are powerful tools for quantum computing when correctly applied. In this paper, I explain the relationship between quantum walks as models and quantum walks as computational tools, and give some examples of their application in both contexts.