Physics – Quantum Physics
Scientific paper
2005-03-29
J. Opt. B: Quantum Semiclass. Opt. 7 (2005) S226-S236.
Physics
Quantum Physics
19 pages, 6 figures. A version with high quality images can be found at http://minty.caltech.edu/papers.php
Scientific paper
10.1088/1464-4266/7/10/005
Both in classical and quantum stochastic control theory a major role is played by the filtering equation, which recursively updates the information state of the system under observation. Unfortunately, the theory is plagued by infinite-dimensionality of the information state which severely limits its practical applicability, except in a few select cases (e.g. the linear Gaussian case.) One solution proposed in classical filtering theory is that of the projection filter. In this scheme, the filter is constrained to evolve in a finite-dimensional family of densities through orthogonal projection on the tangent space with respect to the Fisher metric. Here we apply this approach to the simple but highly nonlinear quantum model of optical phase bistability of a stongly coupled two-level atom in an optical cavity. We observe near-optimal performance of the quantum projection filter, demonstrating the utility of such an approach.
Handel Ramon van
Mabuchi Hideo
No associations
LandOfFree
Quantum projection filter for a highly nonlinear model in cavity QED 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 Quantum projection filter for a highly nonlinear model in cavity QED, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum projection filter for a highly nonlinear model in cavity QED will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-439578