Quantum Theory Of Optimal Control And Quantum Nonlinear Filtering

A brief account of quantum theory of optimal control and filtering is given.
The dynamical programming method for optimization of quantum control
with convex constraints and concave cost functions of quantum conditional state is presented.
Consideration is given to open loop control corresponding to deterministic
conditionally-Markov dynamics of a quantum unstable system. The results are demonstrated
on the example of quantum unstable controlled dynamics admitting continuous demolition
measurement. A single controlled decaying qubit conditioned by its survival is considered as an example.

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