Phase versus coin versus position disorder as a probe for the resilience and revival of single-particle entanglement in cyclic quantum walks.

IF 2.4 3区 物理与天体物理 Q1 Mathematics
Dinesh Kumar Panda, Colin Benjamin
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引用次数: 0

Abstract

Quantum states exhibiting single-particle entanglement (SPE) can encode and process quantum information more robustly than their multiparticle analogs. Understanding the vulnerability and resilience of SPE to disorder is therefore crucial. This letter investigates phase, coin, and position disorder via discrete-time quantum walks on odd and even cyclic graphs to study their effect on SPE. The reduction in SPE is insignificant for low levels of phase or coin disorder, showing the resilience of SPE to minor perturbations. However, SPE is seen to be more vulnerable to position disorder. We analytically prove that maximally entangled single-particle states (MESPS) at time step t=1 are impervious to phase disorder regardless of the choice of the initial state. Further, MESPS at timestep t=1 is also wholly immune to coin disorder for phase-symmetric initial states. Position disorder breaks odd-even parity and distorts the physical time cone of the quantum walker, unlike phase or coin disorder. SPE saturates toward a fixed value for position disorder, irrespective of the disorder strength at large timestep t. Furthermore, SPE can be enhanced with moderate to significant phase or coin disorder strengths at specific time steps. Interestingly, disorder can revive single-particle entanglement from absolute zero in some instances, too. These results are crucial in understanding single-particle entanglement evolution and dynamics in a laboratory setting.

周期量子行走中单粒子纠缠的弹性和恢复的相位、硬币和位置无序探测。
表现出单粒子纠缠态(SPE)的量子态可以比它们的多粒子类似物更稳健地编码和处理量子信息。因此,了解SPE对障碍的脆弱性和恢复能力至关重要。这封信通过在奇偶循环图上的离散时间量子行走来研究相位、硬币和位置紊乱,以研究它们对SPE的影响。对于低水平的相或硬币紊乱,SPE的减少是不显著的,表明SPE对轻微扰动的弹性。然而,SPE被认为更容易发生体位障碍。我们分析证明了在时间步长t=1时最大纠缠单粒子态(MESPS)不受相位紊乱的影响,无论初始状态的选择如何。此外,对于相位对称初始状态,时间步长t=1的MESPS也完全不受硬币无序的影响。与相位或硬币无序不同,位置无序打破了奇偶宇称,扭曲了量子步行者的物理时间锥。无论在大时间步长t时的无序强度如何,对于位置无序,SPE趋于一个固定值。此外,在特定的时间步长,SPE可以在中等到显著的相位或币无序强度下得到增强。有趣的是,在某些情况下,无序也可以使单粒子纠缠从绝对零度恢复。这些结果对于理解实验室环境中的单粒子纠缠演化和动力学是至关重要的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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