Let be a quantum Markov semigroup on with a faithful normal invariant state ρ. The
decoherence-free subalgebra of is the biggest subalgebra of where the completely positive …

We prove a limit theorem for quantum stochastic differential equations with unbounded
coefficients which extends the Trotter–Kato theorem for contraction semigroups. From this …

The purpose of this paper is to determine quantum master and filter equations for systems
coupled to fields in certain non-classical continuous-mode states. Specifically, we consider …

The classical theory of stochastic processes has important applications arising from the
need to describe irreversible evolutions in classical mechanics; analogously quantum …

The classical probability theory initiated by Kolmogorov and its quantum counterpart,
pioneered by von Neumann, were created at about the same time in the 1930s, but …

We study stochastic evolution equations describing the dynamics of open quantum systems.
First, using resolvent approximations, we obtain a sufficient condition for regularity of …

We determine quantum master and filter equations for continuous measurement of systems
coupled to input fields in certain non-classical continuous-mode states, specifically single …

By quantum stochastic analysis is meant the analysis arising from the natural operator
filtration of a symmetric Fock space over a Hilbert space of squareintegrable vector-valued …

Being the annihilation and creation operators on the space h of square integrable Bernoulli
functionals, quantum Bernoulli noises (QBN) satisfy the canonical anti-commutation relation …

The stochastic Schrödinger equation, of classical or quantum type, allows to describe open
quantum systems under measurement in continuous time. In this paper we review the link …