Quantum Unsharpness and Symplectic Rigidity

Leonid Polterovich

doi:10.1007/s11005-012-0564-7

Quantum Unsharpness and Symplectic Rigidity

Leonid Polterovich^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	245-264
Number of pages	20
Journal	Letters in Mathematical Physics
Volume	102
Issue number	3
DOIs	https://doi.org/10.1007/s11005-012-0564-7
State	Published - Oct 2012

Keywords

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

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10.1007/s11005-012-0564-7

Cite this

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title = "Quantum Unsharpness and Symplectic Rigidity",

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.",

keywords = "Berezin-Toeplitz quantization, Poisson bracket, positive operator valued measure (POVM), quantum measurement, symplectic manifold, symplectic quasi-state",

author = "Leonid Polterovich",

note = "Funding Information: This work was partially supported by the National Science Foundation grant DMS-1006610 and the Israel Science Foundation grant 509/07.",

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Quantum Unsharpness and Symplectic Rigidity

Abstract

Keywords

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