This article is a survey on quantum walks for the working mathematician. We show some examples of quantum walks and introduce a candidate for a general definition of quantum walks to give a unified perspective for various concrete models. A part of this article is based on the second author’s talk on “Quantum walks and zeta functions” at Crypto-Math CREST mini-workshop “Quantum computation and cryptography” on September 12th in 2022, under the Sponsorship of DWANGO Co., Ltd.

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Quantum Walks for the Working Mathematician

  • Hayato Saigo,
  • Shingo Sugiyama

摘要

This article is a survey on quantum walks for the working mathematician. We show some examples of quantum walks and introduce a candidate for a general definition of quantum walks to give a unified perspective for various concrete models. A part of this article is based on the second author’s talk on “Quantum walks and zeta functions” at Crypto-Math CREST mini-workshop “Quantum computation and cryptography” on September 12th in 2022, under the Sponsorship of DWANGO Co., Ltd.