Homological analysis of multi-qubit entanglement

We propose the usage of persistent homologies to characterize multipartite entanglement. On a multi-qubit data set we introduce metric-like measures defined only in terms of bipartite entanglement and then we derive barcodes. We show that they are able to provide a good classification of entangled s...

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Bibliographic Details
Published inarXiv.org
Main Authors Alessandra Di Pierro, Mancini, Stefano, Memarzadeh, Laleh, Mengoni, Riccardo
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 27.08.2018
Subjects
Bar codes
Computer Science - Computational Geometry
Entangled states
Homology
Physics - Quantum Physics
Quantum entanglement
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Summary:We propose the usage of persistent homologies to characterize multipartite entanglement. On a multi-qubit data set we introduce metric-like measures defined only in terms of bipartite entanglement and then we derive barcodes. We show that they are able to provide a good classification of entangled states, at least for a small number of qubit.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.1802.04572