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PLoS By Category | Recent PLoS Articles

Mathematics - Physics

Analyzing Three-Player Quantum Games in an EPR Type Setup
Published: Wednesday, July 27, 2011
Author: James M. Chappell et al.

by James M. Chappell, Azhar Iqbal, Derek Abbott

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. More...