Quantum unsharpness and symplectic rigidity
arXiv:1110.5247 · doi:10.1007/s11005-012-0564-7
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.
26 pages, more preliminaries added, changes in the exposition
References in corpus (6)
- Heisenberg's Uncertainty Principle
- Toeplitz operators on symplectic manifolds
- Commutative POVMs and Fuzzy Observables
- Heisenberg's uncertainty principle for simultaneous measurement of positive-operator-valued measures
- Semi-classical properties of geometric quantization with metaplectic correction
- An "anti-Gleason" phenomenon and simultaneous measurements in classical mechanics