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arXiv · 1802.04572

Homological analysis of multi-qubit entanglement

Alessandra Di Pierro·Stefano Mancini·Laleh Memarzadeh·Riccardo Mengoni
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Abstract

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.

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Alessandra Di Pierro, Stefano Mancini, Laleh Memarzadeh, Riccardo Mengoni. 2018-02-13. Homological analysis of multi-qubit entanglement. https://doi.org/10.1209/0295-5075/123/30006

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