Optimal data processing for quantum measurements
arXiv:quant-ph/0610058 · doi:10.1103/PhysRevLett.98.020403
Abstract
We consider the general measurement scenario in which the ensemble average of an operator is determined via suitable data-processing of the outcomes of a quantum measurement described by a POVM. We determine the optimal processing that minimizes the statistical error of the estimation.
4 pages, 1 figure, revtex4. Updated figure
References in corpus (8)
- Quantum Tomography
- Informationally complete measurements and groups representation
- Bell Measurements and Observables
- Clean Positive Operator Valued Measures
- Unambiguous Discrimination Between Linearly Dependent States with Multiple Copies
- Minimax quantum state discrimination
- Quantum universal detectors
- Informationally complete measurements on bipartite quantum systems: comparing local with global measurements
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