PIRSA:24090155 Scientific Series Quantum Foundations

DOI10.48660/24090155

Series: Quantum Foundations

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}}
}

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.

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