Optimal measurements in quantum mechanics
arXiv:quant-ph/0508063 · doi:10.1016/j.physleta.2005.08.003
Abstract
Four common optimality criteria for measurements are formulated using relations in the set of observables, and their connections are clarified. As case studies, 1-0 observables, localization observables, and photon counting observables are considered.
minor corrections
References in corpus (6)
- Symmetric Informationally Complete Quantum Measurements
- Informationally complete measurements and groups representation
- Clean Positive Operator Valued Measures
- Covariant fuzzy observables and coarse-graining
- Position and momentum observables on R and on R^3
- Classical Representations of Quantum Mechanics Related to Statistically Complete Observables
Cited by in corpus (20)
- Heisenberg's Uncertainty Principle
- Quantum control by von Neumann measurements
- Robustness of incompatibility for quantum devices
- Commutative POVMs and Fuzzy Observables
- Sharp and fuzzy observables on effect algebras
- How sharp are PV measures?
- A necessary condition for incompatibility of observables in general probabilistic theories
- Qualitative Noise-Disturbance Relation for Quantum Measurements
- A Resource Theory of Quantum Measurements
- Minimal sufficient positive-operator valued measure on a separable Hilbert space
- Saturation of repeated quantum measurements
- On Operator Valued Measures
- Order preserving maps on quantum measurements
- Compact convex structure of measurements and its applications to simulability, incompatibility, and convex resource theory of continuous-outcome measurements
- Construction of the least informative observable conserved by a given quantum instrument
- Notes on Deterministic Programming of Quantum Observables and Channels
- Relation between state-distinction power and disturbance in quantum measurements
- Post-processing minimal joint observables
- Approximately Clean Quantum Probability Measures
- Optimal covariant measurements: the case of a compact symmetry group and phase observables