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- W2141470081 abstract "Quantum game theory lays a foundation for understanding the interaction of people using quantum computers with conflicting interests. Recently Zhang proposed a simple yet rich model to study quantum strategic games, and addressed some quantitative questions for general games of growing sizes cite{Zha10}. However, one fundamental question that the paper did not consider is the characterization of quantum correlated equilibria (QCE). In this paper, we answer this question by giving a sufficient and necessary condition for an arbitrary state $rho$ being a QCE. In addition, when the condition fails to hold for some player $i$, we give an explicit POVM for that player to achieve a strictly positive gain. Finally, we give some upper bounds for the maximum gain by playing quantum strategies over classical ones, and the bounds are tight for some games." @default.
- W2141470081 created "2016-06-24" @default.
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- W2141470081 date "2011-05-26" @default.
- W2141470081 modified "2023-09-27" @default.
- W2141470081 title "On characterizing quantum correlated equilibria" @default.
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