IDEAS home Printed from https://ideas.repec.org/p/sla/eakjkl/22.html
   My bibliography  Save this paper

Quantum Games and Programmable Quantum Systems

Author

Listed:
  • Edward W. Piotrowski
  • Jan Sladkowski

Abstract

Attention to the very physical aspects of information characterizes the current research in quantum computation, quantum cryptography and quantum communication. In most of the cases quantum description of the system provides advantages over the classical approach. Game theory, the study of decision making in conflict situation has already been extended to the quantum domain. We would like to review the latest development in quantum game theory that is relevant to information processing. We will begin by illustrating the general idea of a quantum game and methods of gaining an advantage over "classical opponent". Then we review the most important game theoretical aspects of quantum information processing. On grounds of the discussed material, we reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. The idea of quantum artificial intelligence is explained.

Suggested Citation

  • Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Games and Programmable Quantum Systems," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics.
    • Handle: RePEc:sla:eakjkl:22
    as

    Download full text from publisher

    File URL: http://alpha.uwb.edu.pl/ep/RePEc/sla/eakjkl/22.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Piotrowski, E.W & Sładkowski, J, 2002. "Quantum market games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 208-216.
    2. Flitney, A.P. & Abbott, D., 2003. "Quantum models of Parrondo's games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 152-156.
    3. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Computer: An Appliance for Playing Market Games," Departmental Working Papers 16, University of Bialtystok, Department of Theoretical Physics.
    4. Edward W. Piotrowski & Jan Sladkowski, "undated". "An Invitation to Quantum Game Theory," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics.
    5. Sładkowski, Jan, 2003. "Giffen paradoxes in quantum market games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 234-240.
    6. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum solution to the Newcomb's paradox," Departmental Working Papers 10, University of Bialtystok, Department of Theoretical Physics.
    7. Edward W. Piotrowski & Jan Sladkowski, "undated". "The Next Stage: Quantum Game Theory," Departmental Working Papers 18, University of Bialtystok, Department of Theoretical Physics.
    8. Edward W. Piotrowski & Jan Sladkowski, "undated". "Trading by Quantum Rules - Quantum Anthropic Principle," Departmental Working Papers 9, 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. 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.
    2. Edward W. Piotrowski, "undated". "Quantum Mind. A sketch (in Polish)," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics.
    3. 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.
    4. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum Transmemetic Intelligence," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.
    5. 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.
    6. Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007. "Universality of measurements on quantum markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.
    7. Edward Piotrowski & Jan Sładkowski, 2004. "Quantum games in finance," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 61-67.
    8. 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.
    9. 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.
    10. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum solution to the Newcomb's paradox," Departmental Working Papers 10, University of Bialtystok, Department of Theoretical Physics.
    11. Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated". "Reinforcement Learning in Market Games," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics.
    12. 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.
    13. F. Bagarello & E. Haven, 2014. "Towards a formalization of a two traders market with information exchange," Papers 1412.8725, arXiv.org.
    14. Szczypińska, Anna & Piotrowski, Edward W., 2008. "Projective market model approach to AHP decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.
    15. Edward W. Piotrowski & Jan Sladkowski, "undated". "Trading by Quantum Rules - Quantum Anthropic Principle," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics.
    16. 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.
    17. Arfi, Badredine, 2007. "Quantum social game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 794-820.
    18. Fotoohinasab, Atiyeh & Fatemizadeh, Emad & Pezeshk, Hamid & Sadeghi, Mehdi, 2018. "Denoising of genetic switches based on Parrondo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 410-420.
    19. Will Hicks, 2018. "Nonlocal Diffusions and The Quantum Black-Scholes Equation: Modelling the Market Fear Factor," Papers 1806.07983, arXiv.org, revised Jun 2018.
    20. Guevara Hidalgo, Esteban, 2006. "Quantum Replicator Dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 393-407.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:sla:eakjkl:22. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/epslapl.html .

    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.