63 citations · 195 across the 10 of their papers we have counts for
5 papers · 2 filters
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…
Operational distance and fidelity for quantum channels
Viacheslav P. Belavkin, Giacomo Mauro D'Ariano, Maxim Raginsky
We define and study a fidelity criterion for quantum channels, which we term the minimax fidelity, through a noncommutative generalization of maximal Hellinger distance between two…
Bellman equations for optimal feedback control of qubit states
Luc Bouten, Simon Edwards, V P Belavkin
Using results from quantum filtering theory and methods from classical control theory, we derive an optimal control strategy for an open two-level system (a qubit in interaction wi…