数学物理学报 ›› 2021, Vol. 41 ›› Issue (4): 1097-1110.

• 论文 • 上一篇    下一篇

时间非齐次二态量子游荡的演化过程分析

林运国()   

  1. 南威软件集团博士后科研工作站 福建泉州 362000;福建农林大学计算机与信息学院 福州 350002
  • 收稿日期:2020-09-11 出版日期:2021-08-26 发布日期:2021-08-09
  • 作者简介:林运国, E-mail: linyg@fafu.edu.cn
  • 基金资助:
    福建省自然科学基金(2016J01283);福建农林大学科技创新专项基金(CXZX2020108A)

The Analysis of Evolution Process in a Time-Inhomogeneous Two-State Quantum Walk

Yunguo Lin()   

  1. Linewell Software CO, LTD, Fujian Quanzhou 362000; College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou 350002
  • Received:2020-09-11 Online:2021-08-26 Published:2021-08-09
  • Supported by:
    the Science Foundation of the Fujian Province(2016J01283);the Special Fund Project for Technology Innovation of Fujian Agriculture and Forestry University(CXZX2020108A)

摘要:

建立时间非齐次二态量子游荡的数学模型,给出位置概率分布的计算表达式.通过计算演化算子的谱值和谱向量分析量子态的演化.推导出伊藤公式并进行矩阵分解和解释.

关键词: 量子游荡, 非齐次, 概率分布, 谱值, 伊藤引理

Abstract:

In this paper, we establish a mathematical model for a time-inhomogeneous two-state quantum walk and give a calculation of the position probability distribution. By calculating spectral values and spectral vectors, we analyze the evolution of quantum states. Furthermore, we derive an Itô formula and get a matrix decomposition and its interpretation.

Key words: Quantum walk, Inhomogeneous, Probability distribution, Spectral value, Itô lemma

中图分类号: 

  • O211.6