172 citations · 909 across the 69 of their papers we have counts for
19 papers · 1 filter
Quantum Covariance and Filtering
John E. Gough
We give a tutorial exposition of the analogue of the filtering equation for quantum systems focusing on the quantum probabilistic framework and developing the ideas from the classi…
Law of Large Numbers for Random Quantum Dynamical Semigroups
John E. Gough, Yurii N. Orlov, Vsevolod Zh. Sakbaev +1
We present a Law of Large Numbers principle for uniformly continuous random quantum dynamical semigroups. Random iterates of independent copies of these semigroups are shown to be…
Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams
John E. Gough
For a given base space (spacetime), we consider the Guichardet space over the Guichardet space over . Here we develop a ''field calculus'' based on the Guichardet integral.…
Randomized Quantum Hamiltonian Systems
John E. Gough, Yurii N. Orlov, Vsevolod Zh. Sakbaev +1
We present a procedure for averaging one-parameter random unitary groups and random self-adjoint groups. Central to this is a generalization of the notion of weak convergence of a…
Asymptotic Equivalence of Quantum Stochastic Models
Luc Bouten, John E. Gough
We introduce the notion of perturbations of quantum stochastic models using the series product, and establish the asymptotic convergence of sequences of quantum stochastic models u…
Entropy Production and Information Flow for Markov Diffusions with Filtering
John E. Gough, Nina H. Amini
Filtering theory gives an explicit models for the flow of information and thereby quantifies the rates of change of information supplied to and dissipated from the filter's memory.…