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Riemannian Optimization for Multi-Player Quantum Games on Product Unitary Manifolds

arXiv · AI, language, vision and robotics · article · Sep 7, 2026 · UTC

Quantum game theory is an extension of classical game theory that uses quantum principles in game theory. The Eisert-Wilkens-Lewenstein (EWL) quantum game is an early example of the two-player classical Prisoner's Dilemma transformed into a quantum Prisoner's Dilemma. In the EWL game, the players choose pure quantum strategies represented by unitary matrices. This extension can resolve the classical dilemma by enabling cooperative equilibrium with higher payoff. In this paper, we first discuss the Extended EWL (EEWL) for multiplayer quantum games with mixed strategies. In EEWL, each player con

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First collected: 2026-09-20T20:52:10.320Z. This is not the publication date.