🍩 Database of Original & Non-Theoretical Uses of Topology

1. Homological Analysis of Multi-Qubit Entanglement (2018)

   Alessandra di Pierro, Stefano Mancini, Laleh Memarzadeh, Riccardo Mengoni

   Abstract

   We propose the usage of persistent homologies to characterize multipartite entanglement. On a multi-qubit data set we introduce metric-like measures defined in terms of bipartite entanglement and then we derive barcodes. We show that, depending on the distance, they are able to produce different classifications. In one case, it is possible to obtain the standard separability classes. In the other case, a new classification of entangled states of three and four qubits is provided.

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   • Quantum physics
   • Multi-qubit data set
   • Innovate
   • Persistent homology