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Pulsation of quantum walk on Johnson graph

  • 01-11-2025
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Abstract

This article delves into the fascinating world of quantum walks, focusing on the pulsation phenomenon observed on Johnson graphs. The study explores how quantum states transfer between connected graphs, exhibiting periodic behavior and high probability of state transfer. The research introduces the concept of pulsation, where quantum states oscillate between two connected graphs, and provides a detailed mathematical analysis of this phenomenon. The article also discusses the implications of pulsation for quantum search algorithms and state transfer, highlighting its potential applications in quantum communication. Through rigorous proofs and numerical simulations, the study validates the existence of pulsation and its properties, offering valuable insights into the behavior of quantum walks on complex graphs.

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Title
Pulsation of quantum walk on Johnson graph
Authors
Taisuke Hosaka
Etsuo Segawa
Publication date
01-11-2025
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2025
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-025-04996-z
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