Constructing quantum games from a system of Bell's inequalities

Iqbal, Azhar; Abbott, Derek

doi:10.1016/j.physleta.2010.05.062

Cited by 24 publications

(25 citation statements)

References 56 publications

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“…The more general analysis for 2-player pure strategy games in which the players can choose from finite strategy sets shows that a single measurement of the output is also insufficient to access the quantum nature of the correlation. In order to do that we need to compare correlations for multi-player games or in 2-player quantum games in which different measurement angles are selected, for example, just as we need to in establishing the experimental violation of Bell's inequality [6][7][8][9].…”

Section: Discussionmentioning

confidence: 99%

The Role of Correlation in Quantum and Classical Games

Phoenix

Khan

2013

Fluct. Noise Lett.

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We use the example of playing a 2-player game with entangled quantum objects to investigate the effect of quantum correlation. We find that for simple game scenarios it is classical correlation that is the central feature and that these simple quantum games are not sensitive to the quantum part of the correlation. In these games played with quantum objects it is possible to transform a game such as Prisoner's Dilemma into the game of Chicken. We show that this behaviour, and the associated enhanced equilibrium payoff over playing the game with quantum objects in non-entangled states, is entirely due to the classical part of the correlation.Generalizing these games to the pure strategy 2-player quantum game where the players have finite strategy sets and a projective joint measurement is made on the output state produced by the players, we show that a given quantum game of this form can always be reproduced by a classical model, such as a communication channel. Where entanglement is a feature of the these 2-player quantum games the matrix of expected outcomes for the players can be reproduced by a classical channel with correlated noise.

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Section: Discussionmentioning

confidence: 99%

The Role of Correlation in Quantum and Classical Games

Phoenix

Khan

2013

Fluct. Noise Lett.

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“…i.e. these are obtained as the expectation of payoff entries (6) on the set of quantum probabilities (11). For the symmetric game defined in Eq.…”

Section: Symmetric Three-player Gamesmentioning

confidence: 99%

A game theoretical perspective on the quantum probabilities associated with a GHZ state

Iqbal

Abbott

2018

Quantum Inf Process

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In the standard approach to quantum games, players' moves are local unitary transformations on an entangled state that is subsequently measured. Players' payoffs are then obtained as expected values of the entries in the payoff matrix of the classical game on a set of quantum probabilities obtained from the quantum measurement. In this paper, we approach quantum games from a diametrically opposite perspective. We consider a classical three-player symmetric game along with a known expression for a set of quantum probabilities relevant to a tripartite Einstein-Podolsky-Rosen (EPR) experiment that depends on three players' directional choices in the experiment. We define the players' moves as their directional choices in an EPR setting and then express their payoff relations in the resulting quantum game in terms of their directional choices, the entries of the payoff matrix, and the quantum probability distribution relevant to the tripartite EPR experiment.

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“…These games are characterized by a continuous space of strategies, and the selection of an initial condition determines the particular strategy chosen by the player [12] . Iqbal and Abbott use the setting of a quantum correlation experiment for considering the instances of matching pennies [13] .…”

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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Constructing quantum games from a system of Bell's inequalities

Cited by 24 publications

References 56 publications

The Role of Correlation in Quantum and Classical Games

The Role of Correlation in Quantum and Classical Games

A game theoretical perspective on the quantum probabilities associated with a GHZ state

A survey of the current status of research on quantum games

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