PIRSA:24090155

From nonlocality transitivity to resource marginal problems and back

Liang, Y. (2024). From nonlocality transitivity to resource marginal problems and back. Perimeter Institute. https://pirsa.org/24090155

Liang, Yeong-Cherng. From nonlocality transitivity to resource marginal problems and back. Perimeter Institute, Sep. 05, 2024, https://pirsa.org/24090155 

          @misc{ pirsa_PIRSA:24090155,
            doi = {10.48660/24090155},
            url = {https://pirsa.org/24090155},
            author = {Liang, Yeong-Cherng},
            keywords = {Quantum Foundations},
            language = {en},
            title = {From nonlocality transitivity to resource marginal problems and back},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {sep},
            note = {PIRSA:24090155 see, \url{https://pirsa.org}}
          }

Yeong-Cherng Liang

National Cheng Kung University

Talk number
PIRSA:24090155
Collection
Talk Type
Subject
Abstract

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.