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Qubit flip game on a Heisenberg spin chain

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Abstract

We study a quantum version of a penny flip game played using control parameters of the Hamiltonian in the Heisenberg model. Moreover, we extend this game by introducing auxiliary spins which can be used to alter the behaviour of the system. We show that a player aware of the complex structure of the system used to implement the game can use this knowledge to gain higher mean payoff.

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Acknowledgments

Work by P. Gawron was supported by the Polish Ministry of Science and Higher Education under the grant number IP2010 009770, J. A. Miszczak was supported by Polish National Science Centre under the project number N N516 475440, Z. Puchała was supported by the Polish National Science Centre under the research project N N514 513340.

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This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Authors and Affiliations

  1. Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100, Gliwice, Poland

    J. A. Miszczak, P. Gawron & Z. Puchała

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  1. J. A. Miszczak
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  2. P. Gawron
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  3. Z. Puchała
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Correspondence to J. A. Miszczak.

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Miszczak, J.A., Gawron, P. & Puchała, Z. Qubit flip game on a Heisenberg spin chain. Quantum Inf Process 11, 1571–1583 (2012). https://doi.org/10.1007/s11128-011-0322-2

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  • DOI: https://doi.org/10.1007/s11128-011-0322-2

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