A new approach to the Cramér-Rao-type bound of the pure-state model
- 22 March 2002
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 35 (13) , 3111-3123
- https://doi.org/10.1088/0305-4470/35/13/307
Abstract
This paper sheds light on non-commutativity in quantum theory as regards theoretical estimation. In it, we calculate the quantum Cramér-Rao-type bound for many cases, by use of a newly proposed powerful technique. We also discuss the use of collective measurement in statistical estimation.Keywords
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This publication has 12 references indexed in Scilit:
- An estimation theoretical characterization of coherent statesJournal of Mathematical Physics, 1999
- Asymptotic estimation theory for a finite-dimensional pure state modelJournal of Physics A: General Physics, 1998
- Impossibility of Measuring the Wave Function of a Single Quantum SystemPhysical Review Letters, 1996
- Quantum Fisher metric and estimation for pure state modelsPhysics Letters A, 1995
- Optimal Extraction of Information from Finite Quantum EnsemblesPhysical Review Letters, 1995
- 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
- Quantum measuring processes of continuous observablesJournal of Mathematical Physics, 1984
- Multiple-parameter quantum estimation and measurement of nonselfadjoint observablesIEEE Transactions on Information Theory, 1973
- Minimum mean-squared error of estimates in quantum statisticsPhysics Letters A, 1967