Physics Seminar
Date: Wednesday, 26 February 2025
Time: 1.45 PM - 3:00 PM
Venue: Seminar Hall (Hybrid)
A New Genuine Multipartite Entanglement Measure from Reflected Entropy
Vinay Malvimat
Asia Pacific Center for Theoretical Physics (APCTP), Pohang, South Korea.
26-02-25

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Abstract

Bipartite entanglement has been extensively studied using measures such as entanglement entropy and entanglement negativity. In contrast, the notion of multipartite entanglement remains a more intricate and nuanced concept, and holds immense significance for quantum teleportation and quantum communication. Existing measures in the literature are often limited in scope, primarily applicable to systems with a small number of qubits. In this talk, I will introduce a novel measure, termed Latent Entropy (L-entropy), designed to characterize genuine multipartite entanglement. This measure offers broad applicability, extending to many-body systems, quantum field theories, and holography. Leveraging the upper bound of reflected entropy, L-entropy attains maximal values for GHZ states in 3-party systems and 2-uniform states in the n-party systems ( for n≥4 ). I will demonstrate how L-entropy serves as a robust multipartite pure state entanglement monotone and discuss its potential extension to mixed multipartite states. Additionally, I will explore its intriguing properties in spin chain models, Haar random states, and the Sachdev-Ye-Kitaev (SYK) model, highlighting its relevance to complex quantum systems.The talk will conclude with the implications of L-entropy in holography, emphasizing its role in uncovering the multipartite entanglement structure of conformal field theories (CFTs) dual to multi-boundary wormholes.