Tripartite information of highly entangled states

Rota, Massimiliano

Abstract

Holographic systems require monogamous mutual information for validity of semiclassical geometry. This is encoded by the sign of the tripartite information (I3). We investigate the behaviour of I3 for all partitionings of systems in states which are highly entangled in a multipartite or bipartite sense. In the case of multipartite entanglement we propose an algorithmic construction that we conjecture can be used to build local maxima of I3 for any partitioning. In case of bipartite entanglement we classify the possible values of I3 for perfect states and investigate, in some examples, the effect on its sign definiteness due to deformations of the states. Finally we comment on the proposal of using I3 as a parameter of scrambling, arguing that in general its average over qubits permutations could be a more sensible measure.

Citation

Rota, M. (2016). Tripartite information of highly entangled states. Journal of High Energy Physics, 2016(4), Article 75. https://doi.org/10.1007/jhep04%282016%29075

• Journal Article Type: Article
• Acceptance Date: Apr 6, 2016
• Online Publication Date: Apr 13, 2016
• Publication Date: Apr 13, 2016
• Deposit Date: Apr 1, 2019
• Publicly Available Date: Apr 2, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2016
• Issue: 4
• Article Number: 75
• DOI: https://doi.org/10.1007/jhep04%282016%29075
• Public URL: https://durham-repository.worktribe.com/output/1299654