Measurable No-signalling Correlations
Quantum Physics
2024-09-27 v1 Operator Algebras
Abstract
We study no-signalling correlations, defined over a quadruple of second countable compact Hausdorff spaces. Using operator-valued information channels over abstract alphabets, we define the subclasses of local, quantum spatial and quantum commuting measurable no-signalling correlations. En route, we establish measurable versions of the Stinespring's Dilation Theorem. We define values of measurable non-local games of local, quantum spatial and quantum commuting type, as well as inner versions thereof, and show how the asymptotic values of a finite non-local game can be viewed as special cases of the corresponding inner values of a measurable game, canonically associated with the given finite game.
Cite
@article{arxiv.2409.17206,
title = {Measurable No-signalling Correlations},
author = {Georgios Baziotis and Ivan G. Todorov and Lyudmila Turowska},
journal= {arXiv preprint arXiv:2409.17206},
year = {2024}
}