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Persistent homology analysis of multiqubit entanglement

Mengoni, R ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. Publisher: Rinton Press Inc , 2020
  3. Abstract:
  4. We introduce a homology-based technique for the classification of multiqubit state vectors with genuine entanglement. 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. © Rinton Press
  5. Keywords:
  6. Entanglement classification ; Persistent homologies (PH) ; Multipartite quantum states ; Data cloud ; Algebraic topology ; Multiqubit states
  7. Source: Quantum Information and Computation ; Volume 20, Issue 5-6 , July , 2020 , Pages 375-399
  8. URL: https://arxiv.org/abs/1907.06914