Multipartite entanglement via the Mayer-Vietoris theorem

A bstract The connection between entanglement and topology manifests itself in the form of the ER-EPR duality. This statement however refers to the maximally entangled states only. In this article I study the multipartite entanglement and the way in which it relates to the topological interpretation...

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Veröffentlicht in:	The journal of high energy physics 2017-10, Vol.2017 (10), p.1-15, Article 74
1. Verfasser:	Patrascu, Andrei T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Coding Elementary Particles Entangled states Gauge-gravity correspondence Gravity High energy physics Hilbert space Models of Quantum Gravity Nonperturbative Effects Physics Physics and Astronomy Quantum entanglement Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Spacetime String Theory Topological States of Matter Topology Toruses
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Beschreibung
Zusammenfassung:	A bstract The connection between entanglement and topology manifests itself in the form of the ER-EPR duality. This statement however refers to the maximally entangled states only. In this article I study the multipartite entanglement and the way in which it relates to the topological interpretation of the ER-EPR duality. The 2 dimensional genus 1 torus will be generalised to a n -dimensional general torus, where the information about the multipartite entanglement will be encoded in the higher inclusion maps of the Mayer-Vietorist sequence.
ISSN:	1029-8479 1029-8479
DOI:	10.1007/JHEP10(2017)074