323 citations · 1.1k across the 55 of their papers we have counts for
56 papers
Multiple Q-Adapted Integrals and Ito Formula of Noncommutative Stochastic Calculus in Fock Space
Viacheslav P. Belavkin, Matthew F. Brown
We study the continuity property of multiple Q-adapted quantum stochastic integrals with respect to noncommuting integrands given by the non-adapted multiple integral kernels in Fo…
Q-Adapted Quantum Stochastic Integrals and Differentials in Fock Scale
Viacheslav P. Belavkin, Matthew F. Brown
In this paper we first introduce the Fock-Guichardet formalism for the quantum stochastic integration, then the four fundamental processes of the dynamics are introduced in the can…
Dynamical programming of continuously observed quantum systems
Viacheslav P. Belavkin, Antonio Negretti, Klaus Molmer
We develop dynamical programming methods for the purpose of optimal control of quantum states with convex constraints and concave cost and bequest functions of the quantum state. W…
A Game Theoretic Approach to Quantum Information
Xianhua Dai, V. P. Belavkin
This work is an application of game theory to quantum information. In a state estimate, we are given observations distributed according to an unknown distribution (associated…
Representations of homogeneous quantum Lévy fields
V P Belavkin, L Gregory
We study homogeneous quantum Lévy processes and fields with independent additive increments over a noncommutative *-monoid. These are described by infinitely divisible generating s…
Eventum Mechanics of Quantum Trajectories: Continual Measurements, Quantum Predictions and Feedback Control
V. P. Belavkin
Quantum mechanical systems exhibit an inherently probabilistic nature upon measurement which excludes in principle the singular direct observability continual case. Quantum theory…