Equivalence between Bell inequalities and quantum minority games

被引：19

作者：

Flitney, Adrian P. ^{[1
]}

Schlosshauer, Maximilian ^{[1
]}

Schmid, Christian ^{[2
]}

Laskowski, Wieslaw ^{[3
]}

Hollenberg, Lloyd C. L. ^{[1
,4
]}

机构：

[1] Univ Melbourne, Sch Phys, Melbourne, Vic 3010, Australia

[2] Max Planck Inst Quantum Opt, D-85748 Garching, Germany

[3] Univ Gdansk, Inst Theoret Phys & Astrophys, PL-80952 Gdansk, Poland

[4] Univ Melbourne, Ctr Excellence Quantum Comp Technol, Melbourne, Vic 3010, Australia

来源：

PHYSICS LETTERS A | 2009年 / 373卷 / 05期

基金：

澳大利亚研究理事会;

关键词：

Quantum game theory; Bell inequalities; Minority game;

D O I：

10.1016/j.physleta.2008.12.003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that, for a continuous set of entangled four-partite states, the task of maximizing the payoff ill 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. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：521 / 524

页数：4

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