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Type: Journal article
Title: A game theoretical perspective on the quantum probabilities associated with a GHZ state
Author: Iqbal, A.
Abbott, D.
Citation: Quantum Information Processing, 2018; 17(11):313-1-313-13
Publisher: Springer Verlag
Issue Date: 2018
ISSN: 1570-0755
Statement of
Azhar Iqbal, Derek Abbott
Abstract: In the standard approach to quantum games, players’ strategic 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 fora 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’ strategic 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.
Keywords: Quantum games; Tripartite EPR experiment; GHZ state; Quantum probabilities
Rights: © Springer Science+Business Media, LLC, part of Springer Nature 2018
DOI: 10.1007/s11128-018-2083-7
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