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arxiv: 1802.04572 · v3 · pith:X4LYRMUBnew · submitted 2018-02-13 · 🪐 quant-ph · cs.CG

Homological analysis of multi-qubit entanglement

classification 🪐 quant-ph cs.CG
keywords entanglementmulti-qubitableanalysisbarcodesbipartitecharacterizeclassification
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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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