吉林大学学报(理学版) ›› 2024, Vol. 62 ›› Issue (1): 20-0028.

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基于量子Bernoulli噪声的一维时空非齐次开放量子游荡

于媛媛, 王才士, 范楠   

  1. 西北师范大学 数学与统计学院, 兰州 730070
  • 收稿日期:2023-05-26 出版日期:2024-01-26 发布日期:2024-01-26
  • 通讯作者: 王才士 E-mail:cswangnwnu@163.com

One-Dimensional Space-Time Inhomogeneous Open Quantum Walk Based on Quantum Bernoulli Noises

YU Yuanyuan, WANG Caishi, FAN Nan   

  1. College  of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2023-05-26 Online:2024-01-26 Published:2024-01-26

摘要: 用量子Bernoulli噪声方法研究一维时空非齐次开放量子游荡, 给出该游荡的演化性质以及极限概率分布, 并表明以局部基态作为初始态时, 基于量子Bernoulli噪声的一维时空非齐次开放量子游荡具有与经典随机游荡相同的极限概率分布.

关键词: 量子Bernoulli噪声, 开放量子游荡, 时空非齐次, 极限概率分布

Abstract: By using the quantum Bernoulli noise method, we investigated the one-dimensional space-time inhomogeneous open quantum walk, and gave the evolution properties and limit probability distribution of the walk. It was also shown that the one-dimensional space-time inhomogeneous open quantum walk based on quantum Bernoulli noises had the same limit probability distribution as the classical random walk when the localized ground state was used as the initial state.

Key words: quantum Bernoulli noise, open quantum walk, space-time inhomogeneous, limit probability distribution

中图分类号: 

  • O211.6