Corpus ID: 196831331

Persistent homology analysis of multiqubit entanglement

@article{Mengoni2020PersistentHA,
  title={Persistent homology analysis of multiqubit entanglement},
  author={Riccardo Mengoni and A. D. Pierro and L. Memarzadeh and S. Mancini},
  journal={Quantum Inf. Comput.},
  year={2020},
  volume={20},
  pages={375-399}
}
  • Riccardo Mengoni, A. D. Pierro, +1 author S. Mancini
  • Published 2020
  • Mathematics, Physics, Computer Science
  • Quantum Inf. Comput.
  • 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. 

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 44 REFERENCES
    Classifying quantum entanglement through topological links
    7
    Entanglement monotones
    207
    Entanglement of formation and concurrence
    374
    Entanglement of a Pair of Quantum Bits
    1605
    Stationary entanglement achievable by environment-induced chain links
    22
    Computing persistent homology
    828