Optimal Quantum Filtering and Quantum Feedback Control

Details Optimal Quantum Filtering and Quantum Feedback Control Optimal Quantum Filtering and Quantum Feedback Control

2005-06-02

arxiv.org/abs/quant-ph/0506018v2

Physics

Quantum Physics

14 pages, extended introduction and free particle example included

Scientific paper

Quantum mechanical systems exhibit an inherently probabilistic nature upon measurement. Using a quantum noise model to describe the stochastic evolution of the open quantum system and working in parallel with classical indeterministic control theory, we present the theory of nonlinear optimal quantum feedback control. The resulting quantum Bellman equation is then applied to the explicitly solvable quantum linear-quadratic-Gaussian (LQG) problem which emphasizes many similarities with the corresponding classical control problem.

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