About this scholarly article

An Introduction to Quantum Filtering by Bouten, Luc; van Handel, Ramon; James, Matthew is a scholarly article available to read on EtoBox.

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 It\^o calculus and its use in the modelling of physical systems. We use both reference probability and innovations methods to obtain quantum filtering equations for system-probe models from quantum optics.

Author

Bouten, Luc; van Handel, Ramon; James, Matthew

Published

2006

Language

EN