Phase space observables and isotypic spaces
arXiv:quant-ph/0004032 · doi:10.1063/1.1286986
Abstract
We give necessary and sufficient conditions for the set of Neumark projections of a countable set of phase space observable to constitute a resolution of the identity, and we give a criteria for a phase space observable to be informationally complete. The results will be applied to the phase space observables arising from an irreducible representation of the Heisenberg group.
18 pages, no figure, Latex2e. Submitted to J. Math. Phys
Cited by in corpus (6)
- Heisenberg's Uncertainty Principle
- Informationally complete joint measurements on finite quantum systems
- Positive operator valued measures covariant with respect to an irreducible representation
- Isometries of quantum states
- Sequential measurements of conjugate observables
- Positive operator measures, generalised imprimitivity theorem, and their applications