论文标题

三态量子步行的单参数家族的监测复发

Monitored Recurrence of a One-parameter Family of Three-state Quantum Walks

论文作者

Stefanak, Martin

论文摘要

研究了一组三态量子步行的一组在线上的监测复发。通过选择适当的硬币空间基础来简化计算。我们表明,polya编号(即站点复发概率)取决于硬币参数以及沃克最初处于特定硬币状态的概率,而步行则可以确定地返回原点。最后,我们简要研究了精确的量子状态复发。

Monitored recurrence of a one-parameter set of three-state quantum walks on a line is investigated. The calculations are considerably simplified by choosing a suitable basis of the coin space. We show that the Polya number (i.e. the site recurrence probability) depends on the coin parameter and the probability that the walker is initially in a particular coin state for which the walk returns to the origin with certainty. Finally, we present a brief investigation of the exact quantum state recurrence.

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