An Introduction to Quantum Filtering

Authors:
Luc Bouten;Ramon Van Handel;Matthew R. James
Affiliations:
-;-;-
Venue:
SIAM Journal on Control and Optimization
Year:
2007

Citing 0
Cited 11

Coherent quantum LQG control

Automatica (Journal of IFAC)
Coherent H∞control for a class of linear complex quantum systems

ACC'09 Proceedings of the 2009 conference on American Control Conference
Global feedback stabilization of quantum noiseless subsystems

ACC'09 Proceedings of the 2009 conference on American Control Conference
Brief paper: Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control

Automatica (Journal of IFAC)
Sliding mode control of two-level quantum systems

Automatica (Journal of IFAC)
Quantum Measurement-Based Feedback Control: A Nonsmooth Time Delay Control Approach

SIAM Journal on Control and Optimization
Quantum filtering for systems driven by fields in single photon states and superposition of coherent states using non-Markovian embeddings

Quantum Information Processing
Quantum control and information processing

Quantum Information Processing
Quantum quasi-Markov processes in eventum mechanics dynamics, observation, filtering and control

Quantum Information Processing
Feedback stabilization of discrete-time quantum systems subject to non-demolition measurements with imperfections and delays

Automatica (Journal of IFAC)
Review: Fight sample degeneracy and impoverishment in particle filters: A review of intelligent approaches

Expert Systems with Applications: An International Journal

Quantified Score

Hi-index	0.01

Visualization

Abstract

This paper provides an introduction to quantum filtering theory. An introduction to quantum probability theory is given, focusing on the spectral theorem and the conditional expectation as a least squares estimate, and culminating in the construction of Wiener and Poisson processes on the Fock space. We describe the quantum Itô calculus and its use in the modeling of physical systems. We use both reference probability and innovations methods to obtain quantum filtering equations for system-probe models from quantum optics.