Work

On random classical marginal problems with applications to quantum information theory

Year: 2025

Type: article

Abstract: In this paper, we study random instances of the classical marginal problem. We encode the problem in a graph, where the vertices have assigned fixed binary probability distributions, and edges have assigned random bivariate distributions having the incident vertex distributions as marginals. We provide estimates on the probability that a joint distribution on the graph exists, having the bivariate edge distributions as marginals. Our study is motivated by Fine’s theorem in quantum mechanics. We study in great detail the graphs corresponding to CHSH and Bell–Wigner scenarios providing rations of volumes between the local and non-signaling polytopes.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/adb547

Authors: Ankit Kumar Jha, Ion Nechita

Institutions: Centre National de la Recherche Scientifique, Université Toulouse III - Paul Sabatier, Laboratoire de Physique Théorique, Université de Toulouse

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funder: Agence Nationale de la Recherche