时间非齐次二态量子游荡的演化过程分析

Abstract

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

CLC Number:

O211.6

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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References 21

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

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