Homological analysis of multi-qubit entanglement

02/13/2018

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by   Alessandra Di Pierro, et al.

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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.