# From nonlocality transitivity to resource marginal problems and back

### APA

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

### MLA

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

### BibTex

@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}} }

**Collection**

**Subject**

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.