63 citations · 161 across the 7 of their papers we have counts for
9 papers
Optimal Quantum Filtering and Quantum Feedback Control
S. C. Edwards, V. P. Belavkin
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…
Hamilton-Jacobi-Bellman equations for Quantum Filtering and Control
J. Gough, V. P. Belavkin, O. G. Smolyanov
We exploit the separation of the filtering and control aspects of quantum feedback control to consider the optimal control as a classical stochastic problem on the space of quantum…
Design of Optimal Dynamic Analyzers: Mathematical Aspects of Wave Pattern Recognition
V. P. Belavkin, V. P. Maslov
We give a review of the most important results on optimal tomography as mathematical wave-pattern recognition theory emerged in the 70's in connection with the problems of optimal…
Generalized uncertainty relations and efficient measurements in quantum systems
V. P. Belavkin
We consider two variants of a quantum-statistical generalization of the Cramer-Rao inequality that establishes an invariant lower bound on the mean square error of a generalized qu…
Towards the theory of control in observable quantum systems
V P Belavkin
An operational description of the controlled Markov dynamics of quantum-mechanical system is introduced. The feedback control strategies with regard to the dynamical reduction of q…
On Entangled Information and Quantum Capacity
V. P. Belavkin
The pure quantum entanglement is generalized to the case of mixed compound states on an operator algebra to include the classical and quantum encodings as particular cases. The tru…