# An Unconventional Classification of Multipartiteness + Inflation Techniques for Causal Inference for Quantum Networks

### APA

Wolfe, E. (2018). An Unconventional Classification of Multipartiteness + Inflation Techniques for Causal Inference for Quantum Networks. Perimeter Institute. https://pirsa.org/18100102

### MLA

Wolfe, Elie. An Unconventional Classification of Multipartiteness + Inflation Techniques for Causal Inference for Quantum Networks. Perimeter Institute, Oct. 30, 2018, https://pirsa.org/18100102

### BibTex

@misc{ pirsa_PIRSA:18100102, doi = {10.48660/18100102}, url = {https://pirsa.org/18100102}, author = {Wolfe, Elie}, keywords = {Quantum Foundations}, language = {en}, title = {An Unconventional Classification of Multipartiteness + Inflation Techniques for Causal Inference for Quantum Networks}, publisher = {Perimeter Institute}, year = {2018}, month = {oct}, note = {PIRSA:18100102 see, \url{https://pirsa.org}} }

Elie Wolfe Perimeter Institute for Theoretical Physics

## Abstract

What does it mean for quantum state to be genuinely fully multipartite? Some would say, whenever the state *cannot* be decomposed as a mixture of states each of which has no entanglement across *some *partition. I'll argue that this partition-centric thinking is ill-suited for the task of assessing the connectivity of the *network* required to realize the state. I'll introduce a network-centric perspective for classifying multipartite entanglement, and it's natural device-independent counterpart, namely a network-centric perspective for classifying multipartite nonclassicality of correlations. Time permitting, we can then explore semidefinite programming (SDP) algorithms for convex optimization over k-partite-entangled states and k-partite-nonlocal correlations relative to the network-centric classification. Joint work with Denis Rosset and others. We will compare the new quantum-inflation techniques to the classical inflation of arXiv:1609.00672. I'll share a few results made possible by these SDPs, while being openly critical about some disappointing apparent limitations.