Asymptotic estimation theory for a finite-dimensional pure state model
Open Access
- 22 May 1998
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 31 (20) , 4633-4655
- https://doi.org/10.1088/0305-4470/31/20/006
Abstract
The optimization of measurement for n samples of pure states are studied. The error of the optimal measurement for n samples is asymptotically compared with the one of the maximum likelihood estimators from n data given by the optimal measurement for one sample.Keywords
All Related Versions
This publication has 9 references indexed in Scilit:
- Quantum state reconstruction and detection of quantum coherences on different observation levelsPhysical Review A, 1996
- Impossibility of Measuring the Wave Function of a Single Quantum SystemPhysical Review Letters, 1996
- Optimal Extraction of Information from Finite Quantum EnsemblesPhysical Review Letters, 1995
- Fidelity for Mixed Quantum StatesJournal of Modern Optics, 1994
- Fundamental limits upon the measurement of state vectorsPhysical Review A, 1994
- Quantum limits to information about states for finite dimensional Hilbert spaceJournal of Physics A: General Physics, 1991
- Large Sample Point Estimation: A Large Deviation Theory ApproachThe Annals of Statistics, 1982
- Commutation superoperator of a state and its applications to the noncommutative statisticsReports on Mathematical Physics, 1977
- On a Theorem of Bahadur on the Rate of Convergence of Point EstimatorsThe Annals of Statistics, 1973