IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0064694.html
   My bibliography  Save this article

Enhancing Pseudo-Telepathy in the Magic Square Game

Author

Listed:
  • Łukasz Pawela
  • Piotr Gawron
  • Zbigniew Puchała
  • Jan Sładkowski

Abstract

We study the possibility of reversing an action of a quantum channel. Our principal objective is to find a specific channel that reverses as accurately as possible an action of a given quantum channel. To achieve this goal we use semidefinite programming. We show the benefits of our method using the quantum pseudo-telepathy Magic Square game with noise. Our strategy is to move the pseudo-telepathy region to higher noise values. We show that it is possible to reverse the action of a noise channel using semidefinite programming.

Suggested Citation

  • Łukasz Pawela & Piotr Gawron & Zbigniew Puchała & Jan Sładkowski, 2013. "Enhancing Pseudo-Telepathy in the Magic Square Game," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-7, June.
    • Handle: RePEc:plo:pone00:0064694
    DOI: 10.1371/journal.pone.0064694
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0064694
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0064694&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0064694?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Piotrowski, Edward W. & Sładkowski, Jan, 2008. "Quantum auctions: Facts and myths," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.
    2. Edward W. Piotrowski & Jan Sladkowski, "undated". "An Invitation to Quantum Game Theory," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jerzy Dajka & Dawid Kłoda & Marcin Łobejko & Jan Sładkowski, 2015. "Quantum Two Player Game in Thermal Environment," PLOS ONE, Public Library of Science, vol. 10(8), pages 1-13, August.
    2. Arfi, Badredine, 2007. "Quantum social game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 794-820.
    3. Iqbal, Azhar & Chappell, James M. & Abbott, Derek, 2015. "Social optimality in quantum Bayesian games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 798-805.
    4. Emmanuel Haven, 2008. "Private Information and the ‘Information Function’: A Survey of Possible Uses," Theory and Decision, Springer, vol. 64(2), pages 193-228, March.
    5. Thomas Boyer-Kassem & Sébastien Duchêne & Eric Guerci, 2016. "Quantum-like models cannot account for the conjunction fallacy," Theory and Decision, Springer, vol. 81(4), pages 479-510, November.
    6. Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantization of Games: Towards Quantum Artificial Intelligence," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics.
    7. Edward W. Piotrowski, "undated". "Quantum Mind. A sketch (in Polish)," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics.
    8. C. Gonçalves P., 2015. "Financial Market Modeling With Quantum Neural Networks," Review of Business and Economics Studies // Review of Business and Economics Studies, Финансовый Университет // Financial University, vol. 3(4), pages 44-63.
    9. Carlos Pedro Gonc{c}alves, 2011. "Quantum Financial Economics - Risk and Returns," Papers 1107.2562, arXiv.org, revised Jan 2012.
    10. Piotrowski, Edward W. & Sładkowski, Jan, 2008. "Quantum auctions: Facts and myths," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.
    11. Hanauske, Matthias & Kunz, Jennifer & Bernius, Steffen & König, Wolfgang, 2010. "Doves and hawks in economics revisited: An evolutionary quantum game theory based analysis of financial crises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5084-5102.
    12. Marcin Makowski & Edward W. Piotrowski & Piotr Frk{a}ckiewicz & Marek Szopa, 2022. "Transactional Interpretation for the Principle of Minimum Fisher Information," Papers 2203.12607, arXiv.org.
    13. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Games and Programmable Quantum Systems," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics.
    14. F. Bagarello & E. Haven, 2014. "Towards a formalization of a two traders market with information exchange," Papers 1412.8725, arXiv.org.
    15. Patra, Sudip, 2019. "A quantum framework for economic science: New directions," Economics Discussion Papers 2019-20, Kiel Institute for the World Economy (IfW Kiel).
    16. Pineiro-Chousa, Juan & Vizcaíno-González, Marcos, 2016. "A quantum derivation of a reputational risk premium," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 304-309.
    17. Luca Lambertini, 2013. "John von Neumann between Physics and Economics: A methodological note," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 5(2), pages 177-189, December.
    18. Zhang, Cuihua & Xing, Peng, 2015. "A research on service quality decision-making of Chinese communications industry based on quantum game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 9-15.
    19. Carlos Pedro Gonc{c}alves, 2012. "Quantum Financial Economics of Games of Strategy and Financial Decisions," Papers 1202.2080, arXiv.org.
    20. James M Chappell & Azhar Iqbal & Derek Abbott, 2012. "Analysis of Two-Player Quantum Games in an EPR Setting Using Clifford's Geometric Algebra," PLOS ONE, Public Library of Science, vol. 7(1), pages 1-8, January.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0064694. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.