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.

单参数组三态量子游动在单粒子上的重现 LINE进行了调查。通过选择以下选项，计算大大简化了 一个合适的硬币空间基础。我们证明了Polya数(即 站点重现概率)取决于硬币参数和概率 步行者最初处于一种特定的硬币状态 确定无疑地回到原点。最后，我们给出了一个简单的调查 精确的量子态重现。