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Equivalence between Bell inequalities and quantum minority games |
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| Authors: | Adrian P. Flitney Maximilian Schlosshauer Wies?aw Laskowski |
| Affiliation: | a School of Physics, University of Melbourne, VIC 3010, Australia b Max-Planck-Institute for Quantum Optics, D-85748 Garching, Germany c Institute of Theoretical Physics and Astrophysics, University of Gdańsk, PL-80-952 Gdańsk, Poland d Centre of Excellence for Quantum Computer Technology, University of Melbourne, Australia |
| Abstract: | We show that, for a continuous set of entangled four-partite states, the task of maximizing the payoff in the symmetric-strategy four-player quantum Minority game is equivalent to maximizing the violation of a four-particle Bell inequality. We conclude the existence of direct correspondences between (i) the payoff rule and Bell inequalities, and (ii) the strategy and the choice of measured observables in evaluating these Bell inequalities. We also show that such a correspondence is unique to minority-like games. |
| Keywords: | 03.67.-a 02.50.Le |
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