From nonlocality transitivity to resource marginal problems and backConfirmed

by Yeong-Cherng Liang (National Cheng Kung University)

Thursday Sep 5, 2024, 11:00 a.m. → 12:30 p.m. America/Toronto

PI/3-301 - Alice Room (Perimeter Institute for Theoretical Physics)

In this talk, I shall recall the nonlocality transitivity problem, which concerns the possibility of inferring the Bell-nonlocality of certain marginals in a multipartite scenario based on other given marginals. Then, I explain how considering this problem has led to a more general class of problems known as resource marginal problems (RMPs). More precisely, RMPs concern the possibility of having a resource-free target subsystem compatible with a given collection of marginal density matrices. We briefly discuss how a resource theory for a collection of marginal density matrices naturally arises from any given RMP and present some general features of such a theory. After that, we focus on a special case of RMPs known as the entanglement transitivity problems and explain how our progress on this problem has led to progress in the original nonlocality transitivity problem.