直线上的硬币量子行走：无序、纠缠与局域化
Coined quantum walks on the line: Disorder, entanglement, and localization
中文总结 AI 辅助
该研究探讨直线硬币量子行走中淬火无序导致的局域化对纠缠的影响，发现无序显著改变量子态并降低硬币-行走者纠缠，在纠缠熵和负性中留下痕迹。
中文摘要 AI 辅助
硬币量子行走中的无序通常会导致局域化。我们研究了局域化对硬币量子行走纠缠性质的影响。具体而言，我们考虑直线上的量子行走，并探索硬币操作中淬火无序的效应。在确认我们的无序选择使行走者局域化之后，我们研究了局域化如何影响硬币量子行走的性质。我们发现行走的混合性质发生了非平凡的变化，在短时间尺度上混合得到改善。特别关注硬币无序对量子态性质以及硬币-行走者纠缠的影响。我们发现，即使行走者的概率分布仍接近无无序情况，无序也会显著改变量子态。我们观察到，通常硬币无序会减少硬币-行走者纠缠，并且局域化在硬币量子行走的纠缠熵和纠缠负性中留下明显的痕迹。
英文摘要
Disorder in coined quantum walks generally leads to localization. We investigate the influence of the localization on the entanglement properties of coined quantum walks. Specifically, we consider quantum walks on the line and explore the effects of quenched disorder in the coin operations. After confirming that our choice of disorder localizes the walker, we study how the localization affects the properties of the coined quantum walk. We find that the mixing properties of the walk are altered nontrivially with mixing being improved at short time scales. Special focus is given to the influence of coin disorder on the properties of the quantum state and the coin-walker entanglement. We find that disorder alters the quantum state significantly even when the walker probability distribution is still close to the nondisordered case. We observe that, generically, coin disorder decreases the coin-walker entanglement and that the localization leaves distinct traces in the entanglement entropy and the entanglement negativity of the coined quantum walk.
