von Neumann's Minimax Theorem for Continuous Quantum Games
Mathematical Physics
2020-06-23 v1 Functional Analysis
math.MP
Abstract
The concept of a classical player, corresponding to a classical random variable, is extended to include quantum random variables in the form of self adjoint operators on infinite dimensional Hilbert space. A quantum version of Von Neumann's Minimax theorem for infinite dimensional (or continuous) games is proved.
Keywords
Cite
@article{arxiv.2006.11502,
title = {von Neumann's Minimax Theorem for Continuous Quantum Games},
author = {Luigi Accardi and Andreas Boukas},
journal= {arXiv preprint arXiv:2006.11502},
year = {2020}
}