Some properties of maximally entangled ELW game

Abstract

The Eisert et al. maximally entangled quantum game is studied within the framework of (elementary) group theory. It is shown that the game can be described in terms of real Hilbert space of states. It is also shown that the crucial properties of the maximally entangled case, like quaternionic structure and the existence, to any given strategy, the corresponding counterstrategy, result from the existence of large stability subgroup of initial state of the game.

12 pages, no figures; the paper is substantially enlarged. Accepted for publication in PTEP

References in corpus (4)

• Quantum Games
• Comment on `Quantum Games and Quantum Strategies'
• Nash equilibria in quantum games with generalized two-parameter strategies
• More on the Isomorphism $SU(2)\otimes SU(2)\cong SO(4)$

Cited by in corpus (1)

• Quantum Cournot model based on general entanglement operator