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Title: Witnessing Quantum Phases via Multiparty Entanglement
Abstract: Entanglement provides a powerful framework for characterizing quantum phases of matter. While it is well-established that the reduced density matrix (RDM) of a local subregion encodes non-trivial information—as seen in topological entanglement entropy and the Li-Haldane conjecture—we argue that this RDM harbors a much richer structure. This structure is revealed by examining how entanglement is distributed among multiple partitions of the subregion. In this talk, I will introduce a comprehensive toolkit based on bipartite and multipartite entanglement witnesses designed to rigorously study these distributions in quantum matter. Using these tools, we will explore a range of quantum phases, including the transverse-field Ising model, quantum spin liquids, and measurement-induced phase transitions. Finally, I will move beyond standard multipartite entanglement to present a more collective form: Genuine Network Multiparty Entanglement (GNME). Recently developed in the field of quantum information and foundations, I will demonstrate how GNME serves as a sharper tool for detecting and characterizing novel phases of matter.
Hosted by Assistant Professor Rufus Boyack
Zoom Link: https://dartmouth.zoom.us/j/98435866316
Events are free and open to the public unless otherwise noted.