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Quantum Parrondo's games

Author

Listed:
  • Flitney, A.P.
  • Ng, J.
  • Abbott, D.

Abstract

Parrondo's paradox arises when two losing games are combined to produce a winning one. A history-dependent quantum Parrondo game is studied where the rotation operators that represent the toss of a classical biased coin are replaced by general SU(2) operators to transform the game into the quantum domain. In the initial state, a superposition of qubits can be used to couple the games and produce interference leading to quite different payoffs to those in the classical case.

Suggested Citation

  • Flitney, A.P. & Ng, J. & Abbott, D., 2002. "Quantum Parrondo's games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 35-42.
    • Handle: RePEc:eee:phsmap:v:314:y:2002:i:1:p:35-42
    DOI: 10.1016/S0378-4371(02)01084-1
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    Citations

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    Cited by:

    1. Edward W. Piotrowski & Jan Sladkowski, "undated". "An Invitation to Quantum Game Theory," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics.
    2. Cheong, Kang Hao & Soo, Wayne Wah Ming, 2013. "Construction of novel stochastic matrices for analysis of Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4727-4738.
    3. Soo, Wayne Wah Ming & Cheong, Kang Hao, 2013. "Parrondo’s paradox and complementary Parrondo processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 17-26.
    4. Zhu, Yong-fei & Xie, Neng-gang & Ye, Ye & Peng, Fa-rui, 2011. "Quantum game interpretation for a special case of Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 579-586.
    5. Ejlali, Nasim & Pezeshk, Hamid & Chaubey, Yogendra P. & Sadeghi, Mehdi & Ebrahimi, Ali & Nowzari-Dalini, Abbas, 2020. "Parrondo’s paradox for games with three players and its potential application in combination therapy for type II diabetes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    6. Soo, Wayne Wah Ming & Cheong, Kang Hao, 2014. "Occurrence of complementary processes in Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 180-185.
    7. Ho Fai Ma & Ka Wai Cheung & Ga Ching Lui & Degang Wu & Kwok Yip Szeto, 2019. "Effect of Information Exchange in a Social Network on Investment," Computational Economics, Springer;Society for Computational Economics, vol. 54(4), pages 1491-1503, December.
    8. Breuer, Sandro & Mielke, Andreas, 2023. "Multi player Parrondo games with rigid coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    9. Ye, Ye & Hang, Xiao Rong & Koh, Jin Ming & Miszczak, Jarosław Adam & Cheong, Kang Hao & Xie, Neng-gang, 2020. "Passive network evolution promotes group welfare in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    10. Wang, Lu & Xie, Neng-gang & Zhu, Yong-fei & Ye, Ye & Meng, Rui, 2011. "Parity effect of the initial capital based on Parrondo’s games and the quantum interpretation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4535-4542.

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    Keywords

    Quantum games; Parrondo's paradox;

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