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An analogue of the Riemann Hypothesis via quantum walks

Quantum Physics 2024-01-23 v3 Mathematical Physics math.MP Number Theory Probability

Abstract

We consider an analogue of the well-known Riemann Hypothesis based on quantum walks on graphs with the help of the Konno-Sato theorem. Furthermore, we give some examples for complete, cycle, and star graphs.

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Cite

@article{arxiv.2204.00765,
  title  = {An analogue of the Riemann Hypothesis via quantum walks},
  author = {Norio Konno},
  journal= {arXiv preprint arXiv:2204.00765},
  year   = {2024}
}

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14 pages