时间非齐次二态量子游荡的演化过程分析

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

时间非齐次二态量子游荡的演化过程分析

林运国()

^{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()

^{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/Abstract

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

林运国. 时间非齐次二态量子游荡的演化过程分析[J]. 数学物理学报, 2021, 41(4): 1097-1110.

Yunguo Lin. The Analysis of Evolution Process in a Time-Inhomogeneous Two-State Quantum Walk[J]. Acta mathematica scientia,Series A, 2021, 41(4): 1097-1110.

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