Numerically assisted determination of local models in network scenarios

Autor(es)

da Silva, Jose Mario ; Parisio, Fernando

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW A; v. 108, n. 5, p. 10-pg., 2023-11-03.

Resumo

Taking advantage of the fact that the cardinalities of hidden variables in network scenarios can be assumed to be finite without loss of generality, a numerical tool for finding explicit local models that reproduce a given statistical behavior was developed. The numerical procedure was then validated using families of statistical behaviors for which the network-local boundary is known, in the bilocal scenario. Furthermore, the critical visibility for three notable distributions mixed with a uniform random noise is investigated in the triangle network without inputs. We provide conjectures for the critical visibilities of the Greenberger-Horne-Zeilinger and W distributions (which are roots of fourth degree polynomials), as well as a lower bound estimate of the critical visibility of the elegant joint measurement distribution. (AU)

• Processo FAPESP: 21/06535-0 - Internet quântica com memórias atômicas
• Beneficiário: Daniel Felinto Pires Barbosa
• Modalidade de apoio: Auxílio à Pesquisa - Temático