Parameter Estimation, Model Reduction and Quantum Filtering

Details Parameter Estimation, Model Reduction and Quantum Filtering Parameter Estimation, Model Reduction and Quantum Filtering

2009-08-08

arxiv.org/abs/0908.1200v1

Physics

Quantum Physics

254 pages, dissertation as submitted to the University of New Mexico, August 2009

Scientific paper

This dissertation explores the topics of parameter estimation and model reduction in the context of quantum filtering. Chapters 2 and 3 provide a review of classical and quantum probability theory, stochastic calculus and filtering. Chapter 4 studies the problem of quantum parameter estimation and introduces the quantum particle filter as a practical computational method for parameter estimation via continuous measurement. Chapter 5 applies these techniques in magnetometry and studies the estimator's uncertainty scalings in a double-pass atomic magnetometer. Chapter 6 presents an efficient feedback controller for continuous-time quantum error correction. Chapter 7 presents an exact model of symmetric processes of collective qubit systems.

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