The Estimation Lie Algebra Associated with Quantum Filters

27 Apr 2018 Amini N. H. Gough J. E.

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... (read more)

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  • QUANTUM PHYSICS
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS
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