From QMCGroup
Single shot parameter estimation via continuous quantum measurement
Bradley A. Chase and JM Geremia
Department of Physics and Astronomy, The University of New Mexico, Albuquerque NM 87131 USA
Abstract. 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 [van Handel, arXiv:0709.2216 (2008)], 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.
Funding: NSF (PHY-0639994); AFOSR (FA9550-06-01-0178)
Downloads
Please follow these links to download the available items in tar-gzip format:
- [LaTeX Source and Figure Files] (tar.gz file with RevTeX source and pdf and eps figure files)
- [Simulation Code and Data Files] (tar.gz file with Matlab, mex and C++ source, including pre-compiled mex libraries for 32-bit windows, 64-bit windows, Intel Mac and PowerPC Mac architectures)