Inferring topology of quantum phase space: With an appendix by Laurent Charles

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Abstract

Does a semiclassical particle remember the phase space topology? We discuss this question in the context of the Berezin–Toeplitz quantization and quantum measurement theory by using tools of topological data analysis. One of its facets involves a calculus of Toeplitz operators with piecewise-constant symbols developed in an appendix by Laurent Charles.

Original languageEnglish
Pages (from-to)61-82
Number of pages22
JournalJournal of Applied and Computational Topology
Volume2
Issue number1-2
DOIs
StatePublished - Oct 2018

Keywords

  • Barcode
  • Berezin-Toeplitz quantization
  • Persistent homology
  • Quantum measurement

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