Quantum Unsharpness and Symplectic Rigidity

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Abstract

We discuss a link between "hard" symplectic topology and an unsharpness principle for generalized quantum observables (positive operator valued measures). The link is provided by the Berezin-Toeplitz quantization.

Original languageEnglish
Pages (from-to)245-264
Number of pages20
JournalLetters in Mathematical Physics
Volume102
Issue number3
DOIs
StatePublished - Oct 2012

Keywords

  • Berezin-Toeplitz quantization
  • Poisson bracket
  • positive operator valued measure (POVM)
  • quantum measurement
  • symplectic manifold
  • symplectic quasi-state

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