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Acta Mathematica Vietnamica

, Volume 43, Issue 4, pp 737–747 | Cite as

Parameterization of Translation-Invariant Two-Dimensional Two-State Quantum Walks

  • Hiromichi Ohno
Article
  • 25 Downloads

Abstract

This study investigates unitary equivalence classes of translation-invariant two-dimensional two-state quantum walks. We show that unitary equivalence classes of such quantum walks are essentially parameterized by two real parameters.

Keywords

Quantum walks Two-dimensional two-state quantum walks Translation-invariant quantum walks Unitary equivalence 

Mathematics Subject Classification (2010)

81Q35 

Notes

Funding information

This work was supported by JSPS KAKENHI Grant Numbers 17K05274.

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Copyright information

© Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of EngineeringShinshu UniversityNaganoJapan

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