Optimal Quantum Feedback Control for Canonical Observables

Details Optimal Quantum Feedback Control for Canonical Observables Optimal Quantum Feedback Control for Canonical Observables

2005-04-13

arxiv.org/abs/quant-ph/0504099v2

Quantum Stochastics and Information: Statistics, Filtering & Control, pp. 262-279 Eds. M. Guta and V.P. Belavkin, World Scient

Physics

Quantum Physics

11 pages, no figures (revised version: typographical errors corrected, references added)

Scientific paper

We show that the stochastic Schrodinger equation for the filtered state of a system, with linear free dynamics, undergoing continual non-demolition measurement or either position or momentum, or both together, can be solved explicitly within a class of Gaussian states which we call extended coherent states. The asymptotic limit yields a class of relaxed states which we describe explicitly. Bellman's principle is then applied directly to optimal feedback control of such dynamical systems and the Hamilton Jacobi Bellman equation for the minimum cost is derived. The situation of quadratic performance criteria is treated as the important special case and solved exactly for the class of relaxed states.

Affiliated with

Also associated with

No associations

Rating

Optimal Quantum Feedback Control for Canonical Observables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Optimal Quantum Feedback Control for Canonical Observables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal Quantum Feedback Control for Canonical Observables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145950