Viacheslav P. Belavkin

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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 and working in parallel with classical inde-terministic control theory, we present the theory of nonlinear optimal quantum feedback control. The resulting quantum Bellman equation(More)
A stochastic model of a continuous nondemolition observation of a free quantum Brownian motion is presented. The nonlinear stochastic wave equation describing the posterior dynamics of the observed quantum system is solved in a Gaussian case for a free particle of mass m > 0. It is shown that the dispersion of the wave packet does not increase to infinity(More)
Acknowledgments The theme for this thesis, applying the tools of quantum probability to problems in quantum optics, was provided by Hans Maassen, who has been my supervisor for the past four years. Apart from sharing his deep insight in quantum mechanics, I am grateful to Hans for his patience and encouragement in finding my own way in research. I would(More)
Quantum mechanical systems exhibit an inherently probabilistic nature upon measurement which excludes in principle the singular direct ob-servability continual case. Quantum theory of time continuous measurements and quantum prediction theory, developed by the author on the basis of an independent-increment model for quantum noise and nondemolition(More)