Abstract
We use many-body entangled states to solve problems, that need coordinated action, better than classical approaches. The entangled state employed is the ground state of an integer quantum Hall state at filling factor 1. Our entangled state allows N players to make mutually exclusive choices from a menu of N choices. We show that our entangled state provides the best solution for a set of classical problems whose classical solutions are not ideal.
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References
Landsburg, S.E.: Quantum Game Theory. Notices of the AMS 51, 394–399 (2004)
Bell, J.S.: On the Einstein Podolsky Rosen Paradox. Physics 1, 195–200 (1964)
Tittel, W., Brendel, J., Gisin, B., Herzog, T., Zbinden, H., and Gisin, N., Experimental demonstration of quantum correlations over more than 10 km. Phys. Rev. A 57, 3229–3232 (1998)
Tittel, W., Brendel, J., Zbinden, H., and Gisin, N.: Violation of Bell Inequalities by Photons More Than 10 km Apart. Phys. Rev. Lett. 81, 3563–3566 (1998)
Eisert, J., Wilkens, M., and Lewenstein, M.: Quantum Games and Quantum Strategies. Phys. Rev. Lett. 83, 3077–3080 (1999)
Marinatto, L., and Weber, T.: A quantum approach to static games of complete information. Phys. Lett. A 272, 291–303 (2000)
Chakrabarti, A.S., Chakrabarti, B.K., Chatterjee, A., and Mitra, M.: The Kolkata Paise Restaurant Problem and Resource Utilization. Physica A (2009) 388, 2420-2426
Challet, D., Marsili, M., and Zhang, Y.-C.: Minority Games: Interacting Agents in Financial Markets. Oxford Univ. Press., Oxford (2005)
S. Yarlagadda, to be published
For a realization of entangled qudits each with 6 states see O’Sullivan-Hale, M.N., Khan, I.A., Boyd, R.W., and Howell, J.C.: Pixel Entanglement: Experimental Realization of Optically Entangled d=3 and d=6 Qudits. Phys. Rev. Lett. (2005) doi: 10.1103/Phys. Rev. Lett. 94.220501
Shi, Y.: Quantum entanglement of identical particles. Phys. Rev. A (2003) doi: 10.1103/Phys-RevA.67.024301
Peres, A.: Quantum Theory: Concepts and Methods. Kluwer Academic Publishers, Boston (1995)
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Yarlagadda, S. (2010). Using Many-Body Entanglement for Coordinated Action in Game Theory Problems. In: Basu, B., Chakravarty, S.R., Chakrabarti, B.K., Gangopadhyay, K. (eds) Econophysics and Economics of Games, Social Choices and Quantitative Techniques. New Economic Windows. Springer, Milano. https://doi.org/10.1007/978-88-470-1501-2_6
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DOI: https://doi.org/10.1007/978-88-470-1501-2_6
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-1500-5
Online ISBN: 978-88-470-1501-2
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