Coalitions in the quantum Minority game: Classical cheats and quantum bullies

Flitney, Adrian P.; Greentree, Andrew D.

doi:10.1016/j.physleta.2006.10.007

Cited by 23 publications

(14 citation statements)

References 37 publications

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“…The usual approach in three-player quantum games considers players sharing a three-qubit quantum state with each player accessing their respective qubit in order to perform local unitary transformation. Quantum games have been reported [15] in which players share Greenberger-Horne-Zeilinger (GHZ) states and the W states [5], while other works have, for instance, investigated the effects of noise [16,17] and the benefits of players forming coalitions [18,19].…”

Section: Introductionmentioning

confidence: 99%

Analyzing Three-Player Quantum Games in an EPR Type Setup

2011

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We use the formalism of Clifford Geometric Algebra (GA) to develop an analysis of quantum versions of three-player non-cooperative games. The quantum games we explore are played in an Einstein-Podolsky-Rosen (EPR) type setting. In this setting, the players' strategy sets remain identical to the ones in the mixed-strategy version of the classical game that is obtained as a proper subset of the corresponding quantum game. Using GA we investigate the outcome of a realization of the game by players sharing GHZ state, W state, and a mixture of GHZ and W states. As a specific example, we study the game of three-player Prisoners' Dilemma.

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Section: Introductionmentioning

confidence: 99%

Analyzing Three-Player Quantum Games in an EPR Type Setup

2011

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“…Although playing a game using entanglement as a resource is not the same as playing the underlying classical game, sharing entanglement is less strong than explicit cooperation. In quantum versions of the Minority game [20][21][22][23], for even numbers of players it has been shown [20,21] that the probability of getting no winners in the final state can be reduced, to the benefit of all players. For small numbers of players the QMG is amenable to experimental implementation using multi-photon entangled states [4].…”

Section: Introductionmentioning

confidence: 99%

Equivalence between Bell inequalities and quantum minority games

et al. 2009

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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.

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“…Flitney and Greentree consider the advantage obtained in a quantum minority game by a coalition sharing an initially entangled state versus that obtained by a coalition that uses classical communication to reach an optimal group strategy. Their result shows that quantum coalitions outperform classical ones when carried out by up to four players [22] . Flitney et al 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 [23] .…”

Section: A the Main Classical Game Models And Its Quantum Counterpartmentioning

confidence: 99%

A survey of the current status of research on quantum games

Huang

2018

2018 4th International Conference on Information Management (ICIM)

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obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.The WestminsterResearch online digital archive at the University of Westminster aims to make the research output of the University available to a wider audience. Copyright and Moral Rights remain with the authors and/or copyright owners.Whilst further distribution of specific materials from within this archive is forbidden, you may freely distribute the URL of WestminsterResearch: ((http://westminsterresearch.wmin.ac.uk/).In case of abuse or copyright appearing without permission e-mail repository@westminster.ac.uk Huang, Dingxuan & Li, Shuliang Abstract -Quantum games have gained considerable interest from researchers. In this paper, on the basis of the Web of Science database, through the use of the social network analysis methods, the literature on quantum games is analyzed from three aspects: the keywords co-occurrence, coauthorship, and co-citation. In the process of analysis, the main quantum game models are reviewed with graphical illustrations. Our paper provides a survey and outline of the current status of research in this field, and identify directions for future work.. A Survey of the Current Status of Research on Quantum Games. In: Proceedings of the 2018 4th International Conference on Information Management (ICIM2018), 25th to 27th May 2018, Oxford, United Kingdom. IEEE. pp.46-52. ISBN: 978-1-5386-6146-8/18. A Survey of the Current Status of Research on Quantum Games

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Coalitions in the quantum Minority game: Classical cheats and quantum bullies

Cited by 23 publications

References 37 publications

Analyzing Three-Player Quantum Games in an EPR Type Setup

Analyzing Three-Player Quantum Games in an EPR Type Setup

Equivalence between Bell inequalities and quantum minority games

A survey of the current status of research on quantum games

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