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Parameterization of quantum walks on cycles

2020/06/23 by Shuji Kuriki, Sams Afif Nirjhor, Kuriki, Shuji +4
Computer Science · Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Ferroelectric and Negative Capacitance Devices #Mathematical Physics (math-ph) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum-Dot Cellular Automata #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.2006.12678

12 pages

arxiv created 2020/06/23 · openalex publication_date 2020/06/23 · arxiv updated 2020/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This study investigate the unitary equivalence classes of quantum walks on cycles. We show that unitary equivalence classes of quantum walks on a cycle with N vertices are parameterized by 2N real parameters. Moreover, the ranges of two of the parameters are restricted, and the ranges depend on the parity of N.

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