63 citations
4 papers · 1 filter
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…
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…
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This paper has been withdrawn by the author.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…
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…