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arXiv · 1907.06914

Persistent homology analysis of multiqubit entanglement

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

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.

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Riccardo Mengoni, Alessandra DI Pierro, Laleh Memarzadeh, Stefano Mancini. 2019-07-16. Persistent homology analysis of multiqubit entanglement. https://arxiv.org/abs/1907.06914

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