Sensitivity optimization in quantum parameter estimation
- 17 August 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 64 (3) , 032111
Abstract
We present a general framework for sensitivity optimization in quantum parameter estimation schemes based on continuous (indirect) observation of a dynamical system. As an illustrative example, we analyze the canonical scenario of monitoring the position of a free mass or harmonic oscillator to detect weak classical forces. We show that our framework allows the consideration of sensitivity scheduling, as well as estimation strategies for nonstationary signals, leading us to propose corresponding generalizations of the standard quantum limit for force detection.Keywords
All Related Versions
This publication has 19 references indexed in Scilit:
- Feedback control of quantum systems using continuous state estimationPhysical Review A, 1999
- State determination in continuous measurementPhysical Review A, 1999
- Standard quantum limits for broadband position measurementPhysical Review A, 1998
- Dynamical identification of open quantum systemsQuantum and Semiclassical Optics: Journal of the European Optical Society Part B, 1996
- Linear stochastic wave equations for continuously measured quantum systemsPhysical Review A, 1994
- Quantum theory of field-quadrature measurementsPhysical Review A, 1993
- Nondemolition observation of a free quantum particlePhysical Review A, 1992
- Quantum-mechanical model for continuous position measurementsPhysical Review A, 1987
- Quantum Ito's formula and stochastic evolutionsCommunications in Mathematical Physics, 1984
- Contractive States and the Standard Quantum Limit for Monitoring Free-Mass PositionsPhysical Review Letters, 1983