Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (4): 1097-1110.

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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)


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