63 citations · 195 across the 10 of their papers we have counts for
16 papers · 2 filters
Quantum Noise, Bits and Jumps: Uncertainties, Decoherence, Trajectories and Filtering
V. P. Belavkin
It is shown that many dissipative phenomena of "old" quantum mechanics which appeared 100 years ago in the form of the statistics of quantum thermal noise and quantum spontaneous j…
Quantum Stochastics, Dirac Boundary Value Problem, and the Ultra Relativistic Limit
V. P. Belavkin
We prove that a single-jump quantum stochastic unitary evolution is equivalent to a Dirac boundary value problem on the half line in an extra dimension. This amounts to the equival…
The Nondemolition Measurement of Quantum Time
V. P. Belavkin, M. G. Perkins
The problem of time operator in quantum mechanics is revisited. The unsharp measurement model for quantum time based on the dynamical system-clock interaction, is studied. Our anal…
On the Dynamical Interpretation for the Quantum-Measurement Projection Postulate
R. L. Stratonovich, V. P. Belavkin
An apparatus model with discrete momentum space suitable for the exact solution of the problem is considered. The special Hamiltonian of its interaction with the object system unde…
A Stochastic Hamiltonian Approach for Quantum Jumps, Spontaneous Localizations, and Continuous Trajectories
V. P. Belavkin, O. Melsheimer
We give an explicit stochastic Hamiltonian model of discontinuous unitary evolution for quantum spontaneous jumps like in a system of atoms in quantum optics, or in a system of qua…
Measurements continuous in time and a posteriori states in quantum
A. Barchielli, V. P. Belavkin
Measurements continuous in time were consistently introduced in quantum mechanics and applications worked out, mainly in quantum optics. In this context a quantum filtering theory…