The Estimation Lie Algebra Associated with Quantum Filters

Nina Amini, John E. Gough

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

77 Wedi eu Llwytho i Lawr (Pure)


We introduce the Lie algebra of super-operators associated with a quantum filter, specifically emerging from the Stratonovich calculus. In classical filtering, the analogue algebra leads to a geometric theory of nonlinear filtering which leads to well-known results by Brockett and by Mitter characterizing potential models where the curse-of-dimensionality may be avoided, and finite dimensional filters obtained. We discuss the quantum analogue to these results. In particular, we see that, in the case where all outputs are subjected to homodyne measurement, the Lie algebra of super-operators is isomorphic to a Lie algebra of system operators from which one may approach the question of the existence of finite-dimensional filters
Iaith wreiddiolSaesneg
Rhif yr erthygl1950004
CyfnodolynOpen Systems and Information Dynamics
Rhif cyhoeddi2
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 15 Gorff 2019

Ôl bys

Gweld gwybodaeth am bynciau ymchwil 'The Estimation Lie Algebra Associated with Quantum Filters'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.

Dyfynnu hyn