An introduction to quantum filtering
最优化与控制
2007-12-24 v1 数学物理
math.MP
概率论
量子物理
摘要
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.
引用
@article{arxiv.math/0601741,
title = {An introduction to quantum filtering},
author = {Luc Bouten and Ramon van Handel and Matthew James},
journal= {arXiv preprint arXiv:math/0601741},
year = {2007}
}
备注
41 pages, 1 figure