Yao Louie Hong, Wald Sascha
Department of Physics & Center for Soft Matter and Biological Physics, MC 0435, Robeson Hall, 850 West Campus Drive, Virginia Tech, Blacksburg, Virginia 24061, USA.
Statistical Physics Group, Centre for Fluid and Complex Systems, Coventry University, United Kingdom.
Phys Rev E. 2023 Aug;108(2-1):024139. doi: 10.1103/PhysRevE.108.024139.
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.
造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造币量子行走纠缠特性的影响。具体而言，我们考虑在线上的量子行走，并探究造币操作中淬火无序的影响。在确认我们选择的无序使行走者局域化后，我们研究局域化如何影响造币量子行走的特性。我们发现行走的混合特性以非平凡的方式改变，在短时间尺度下混合得到改善。特别关注造币无序对量子态特性和造币 - 行走者纠缠的影响。我们发现即使行走者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，一般来说，造币无序会降低造币 - 行走者纠缠，并且局域化在造币量子行走的纠缠熵和纠缠负性中留下明显的痕迹。
