Parrondo's paradox in quantum walks with time-dependent coin operators

Marcelo A. Pires and Sílvio M. Duarte Queirós
Phys. Rev. E 102, 042124 – Published 19 October 2020
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  • INTRODUCTION
  • MODEL
  • RESULTS AND DISCUSSION
  • CONCLUDING REMARKS
  • ACKNOWLEDGMENTS
    • References

    Abstract

    We show that a Parrondo paradox can emerge in two-state quantum walks without resorting to experimentally intricate high-dimensional coins. To achieve such goal we employ a time-dependent coin operator without breaking the translation spatial invariance of the system.

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    • Received 12 July 2020
    • Revised 25 August 2020
    • Accepted 8 September 2020

    DOI:https://doi.org/10.1103/PhysRevE.102.042124

    ©2020 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Quantum walks
    Quantum Information, Science & TechnologyStatistical Physics & Thermodynamics

    Authors & Affiliations

    Marcelo A. Pires1,* and Sílvio M. Duarte Queirós1,2,†

    • 1Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Rio de Janeiro, Brazil
    • 2National Institute of Science and Technology for Complex Systems, Rio de Janeiro, Rio de Janeiro, Brazil

    • *piresma@cbpf.br
    • †sdqueiro@cbpf.br

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    Issue

    Vol. 102, Iss. 4 — October 2020

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