Work

More on genuine multientropy and holography

Year: 2025

Type: article

Abstract: By generalizing the construction of genuine multientropy GM ( q ) for genuine multipartite entanglement proposed in the previous paper [Genuine multi-entropy and holography, .], we give a prescription on how to construct GM ( q ) systematically for any q . The crucial point is that our construction naturally fits to the partition number p ( a ) of integer a . For general q , GM ( q ) contains N ( q ) = p ( q ) − p ( q − 1 ) − 1 number of free parameters. Furthermore, these give N ( q ) + 1 number of new diagnostics for genuine q -partite entanglement. Especially for q = 4 case, this reproduces not only the known diagnostics pointed out by Balasubramanian [Multiboundary wormholes and holographic entanglement, .], but also a new diagnostics for quadripartite entanglement. We also study these GM ( q ) for q = 4 , 5 in holography and show that these are of the order of O ( 1 / G N ) both analytically and numerically. Our results give evidence that genuine multipartite entanglement is ubiquitous in holography. We discuss the connection to quantum error correction and the role of genuine multipartite entanglement in bulk reconstruction.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/x76v-mr6n

Authors: Norihiro Iizuka, Simon Lin, Mitsuhiro Nishida

Institutions: National Tsing Hua University, Yukawa Institute for Theoretical Physics, New York University Abu Dhabi, National Institute of Technology, Yuge College

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid