Work

Genuine multientropy and holography

Year: 2025

Type: article

Abstract: Is bipartite entanglement sufficient for holography? Through the analysis of the Markov gap, it is known that the answer is no. In this paper, we give a new perspective on this issue from a different angle using a multientropy. We define a genuine q -partite multientropy from a q -partite multientropy by subtracting appropriate linear combinations of q ˜ -partite multientropies for q ˜ < q , in such a way that the genuine q -partite multientropy vanishes for all q ˜ -partite entangled states. After studying several aspects, we apply it to black holes and holography. For the application to black holes, we see that such a genuine q -partite multientropy is important only after the Page time. For the application to holography, we prove that nonbipartite multientropies are always positive and O ( 1 / G N ) , as long as boundary subregions are connected. This indicates that for holography, genuine multipartite entanglement is not small and plays an important role.

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

DOI: 10.1103/714c-byxq

Authors: Norihiro Iizuka, Mitsuhiro Nishida

Institutions: Kyoto University, National Tsing Hua University, Yukawa Institute for Theoretical Physics, 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

Funders: Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science

Awards: G4482706451, G5064758364, Emergent Spacetime and Black Hole Structure through the Gauge/Gravity Correspondence