期刊
PHYSICAL REVIEW A
卷 79, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.79.022314
关键词
Bayes methods; convergence of numerical methods; parameter estimation; particle filtering (numerical methods); quantum theory
资金
- NSF [PHY-0639994]
- AFOSR [FA9550-06-01-0178]
We present filtering equations for single-shot parameter estimation using continuous quantum measurement. By embedding parameter estimation in the standard quantum filtering formalism, we derive the optimal Bayesian filter for cases when the parameter takes on a finite range of values. Leveraging recent convergence results [R. van Handel, e-print arXiv:0709.2216], we give a condition which determines the asymptotic convergence of the estimator. For cases when the parameter is continuous valued, we develop quantum particle filters as a practical computational method for quantum parameter estimation.
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