Optimal estimation of quantum observables
arXiv:quant-ph/0510187 · doi:10.1063/1.2168122
Abstract
We consider the problem of estimating the ensemble average of an observable on an ensemble of equally prepared identical quantum systems. We show that, among all kinds of measurements performed jointly on the copies, the optimal unbiased estimation is achieved by the usual procedure that consists in performing independent measurements of the observable on each system and averaging the measurement outcomes.
Submitted to J. Math Phys
References in corpus (12)
- Quantum metrology
- Using entanglement improves precision of quantum measurements
- Universal Algorithm for Optimal Estimation of Quantum States from Finite Ensembles
- Efficient use of quantum resources for the transmission of a reference frame
- Introduction to Quantum Computation
- Unambiguous Discrimination Between Linearly Dependent States with Multiple Copies
- Covariant quantum measurements which maximize the likelihood
- Entanglement is not very useful for estimating multiple phases
- Purity estimation with separable measurements
- Measuring the purity of a qubit state: entanglement estimation with fully separable measurements
- Optimal phase estimation for qubit mixed states
- Informationally complete measurements on bipartite quantum systems: comparing local with global measurements
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- Estimating the expectation values of spin 1/2 observables with finite resources
- Dual frame optimization for informationally complete quantum measurements
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- Optimal estimation of a physical observable's expectation value for pure states