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  • Letter
  • Open Access

Chaotic switching for quantum coin Parrondo's games with application to encryption

Joel Weijia Lai

Kang Hao Cheong*

  • Science, Mathematics and Technology, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore

  • Science, Mathematics and Technology, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore and SUTD-MIT International Design Centre, 8 Somapah Road, Singapore 487372, Singapore

  • *kanghao_cheong@sutd.edu.sg
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Phys. Rev. Research 3, L022019 – Published 2 June, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L022019

Abstract

Quantum game theory has stimulated some interest in recent years with the advancement of quantum information theory. This interest has led to a resurgence of quantum Parrondo's games. With two losing games combining to give a winning game, this paradoxical idea is known as Parrondo's paradox. By using chaotic switching between the two losing quantum games, we show that it is possible to achieve Parrondo's paradox involving a quantum walker playing two-sided quantum coin tossing games. Furthermore, we show that the framework of chaotic switching in quantum coin tosses can be applied to encryption. This is a proposal to deploy a quantum coin toss with chaotic switching for semiclassical encryption.

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Phys. Rev. Research 3, L022019– Published 2 June, 2021
  • Received 24 February 2021
  • Accepted 18 April 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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