近日，bet36体育投注:计算技术研究所Meng Li团队报道了离散时间非酉量子行走的动力学性质及其应用。2025年12月9日出版的《物理评论A》杂志发表了这项成果。

当前大多数关于量子行走的研究集中于幺正封闭系统，而与其相关的非幺正开放量子系统目前尚未被充分研究。研究组分析了特定非幺正演化算符下量子行走的位置分布与方差。研究结果显示，方差随角度参数、空间维度和初始状态的不同表现出显著的动力学行为差异。特别地，在一维非厄米双带晶格模型中，研究组证明了在短时区域内方差随时间步长呈二次增长，表明其扩散速度快于经典随机行走。基于此加速特性，研究组进一步提出了一种基于非幺正量子行走的隐形传态方案，该方案无需进行纠缠态制备，从而在提升信息传递效率的同时降低了资源开销。

附：英文原文

Title: Dynamical properties and applications of discrete time nonunitary quantum walks

Author: Lihao Xu, Meng Li, Xiaoming Sun

Issue&Volume: 2025/12/09

Abstract: Most existing studies of quantum walk focus on unitary closed systems, while the nonunitary counterpart, relevant to open quantum systems, remains relatively unexplored. This paper analyzes the position distribution and variance of quantum walk under the specific nonunitary evolution operator. Our results reveal that the variance exhibits distinct dynamical behavior depending on angular parameters, spatial dimensions, and initial states. In particular, for the one-dimensional non-Hermitian two-band lattice model, we demonstrate that the variance grows quadratically with time steps in the short-time regime, indicating faster diffusion than classical random walk. Leveraging this acceleration, we further propose a teleportation protocol based on nonunitary quantum walk, which eliminates the need for entangled state preparation and thereby reduces resource overhead while enhancing information transfer efficiency.

DOI: 10.1103/mh45-qlty

Source: https://journals.aps.org/pra/abstract/10.1103/mh45-qlty