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Paper detail

Persistent homology analysis of multiqubit entanglement

We introduce a homology-based technique for the analysis of multiqubit state vectors. In our approach, we associate state vectors to data sets by introducing a metric-like measure in terms of bipartite entanglement, and investigate the persistence of homologies at different scales. This leads to a novel classification of multiqubit entanglement. The relative occurrence frequency of various classes of entangled states is also shown.

preprint2019arXivOpen access
Riccardo MengoniAlessandra Di PierroLaleh MemarzadehStefano Mancini
Computational Geometryquant-ph
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Riccardo MengoniAlessandra Di PierroLaleh MemarzadehStefano Mancini

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