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20032005
most citedHamilton-Jacobi-Bellman equations for Quantum Filtering and Control

63 citations · 112 across the 7 of their papers we have counts for

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quant-ph200563 cited

Hamilton-Jacobi-Bellman equations for Quantum Filtering and Control

J. Gough, V. P. Belavkin, O. G. Smolyanov

We exploit the separation of the filtering and control aspects of quantum feedback control to consider the optimal control as a classical stochastic problem on the space of quantum…

quant-ph2004

Stochastic Schrodinger equations as limit of discrete filtering

John Gough, Andrei Sobolev

We consider an open model possessing a Markovian quantum stochastic limit and derive the limit stochastic Schrodinger equations for the wave function conditioned on indirect observ…

quant-ph200348 cited

The Langevin equation from Markovian Quantum Central Limits

John Gough

This paper has been withdrawn by the author. The central result is now included in quant-ph/0309056 (as in the journal publication!). An erratum on the Heisenberg perturbation seri…

quant-ph2003

Quantum Statistical Field Theory and Combinatorics

John Gough

This is a set of review notes on combinatorial aspects of Bosonic quantum field theory. We collect together several related issues concerning moments of distributions, moments of s…

quant-ph2003

Quantum Markovian Approximations for Fermionic Reservoirs

John Gough, Andrei Sobolev

We establish a quantum functional central limit for the dynamics of a system coupled to a Fermionic bath with a general interaction linear in the creation, annihilation and scatter…

quant-ph20031 cited

Quantum Stochastic Generators

John Gough

We discuss stochastic derivations, stochastic Hamiltonians and the flows that they generate, algebraic fluctuaion-dissipation theorems, etc., in a language common to both classical…