2024/09/25 by Georgios Baziotis, Ivan G. Todorov, Baziotis, Georgios +3 · 1 citation
Physics and Astronomy · Computer Science · Mathematics · #Quantum Mechanics and Applications #Quantum Information and Cryptography #Advanced Operator Algebra Research
paper · pdf · doi:10.48550/arxiv.2409.17206
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.