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Some properties of maximally entangled ELW game

Quantum Physics 2016-06-21 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1209.2556,
  title  = {Some properties of maximally entangled ELW game},
  author = {Katarzyna Bolonek-Lason and Piotr Kosinski},
  journal= {arXiv preprint arXiv:1209.2556},
  year   = {2016}
}

Comments

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