Work

Measurable No-signalling Correlations

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2409.17206

Authors: Baziotis, Georgios, Todorov, Ivan G., Turowska, Lyudmila

Institution: University of Delaware

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, University of Delaware, Vetenskapsrådet, Division of Mathematical Sciences

Awards: Noncommutative Analysis in the Theory of Nonlocal Games, CIF: Small: Fundamental limits in ambiguous communication

OpenAlex ID: W4403795427

Cites: 2

Cited by: 1

Related to: 10