Multiparty Entanglement in Quantum Matter
APA
Lyu, L. (2025). Multiparty Entanglement in Quantum Matter. Perimeter Institute. https://pirsa.org/25120052
MLA
Lyu, Liuke. Multiparty Entanglement in Quantum Matter. Perimeter Institute, Dec. 09, 2025, https://pirsa.org/25120052
BibTex
@misc{ pirsa_PIRSA:25120052,
doi = {},
url = {https://pirsa.org/25120052},
author = {Lyu, Liuke},
keywords = {Condensed Matter},
language = {en},
title = {Multiparty Entanglement in Quantum Matter},
publisher = {Perimeter Institute},
year = {2025},
month = {dec},
note = {PIRSA:25120052 see, \url{https://pirsa.org}}
}
Liuke Lyu Université de Montreal - Département de physique
Abstract
Entanglement provides a powerful framework for characterizing quantum phases. The reduced density matrix (RDM) of a local region is known to encode non-trivial information about the phase of matter, as demonstrated by topological entanglement entropy and the Li-Haldane conjecture. We argue that this RDM harbors a much richer structure, which is revealed by examining the genuine multipartite entanglement (GME) shared among different partitions of the subregion. This talk introduces a comprehensive toolkit based on bipartite and multipartite entanglement witnesses to rigorously study how entanglement is distributed in quantum matter. Using these tools, we will explore a range of quantum phases such as the quantum Ising model, quantum spin liquids as well as measurement-induced phase transitions. In the end, we will move beyond GME and present a more collective form of entanglement, Genuine Network Multiparty entanglement (GNME), recently developed in the field of quantum information and foundations, and see how it serves as a sharper tool for detecting and characterizing novel phases of matter.