Quantum Stochastic Processes and the Modelling of Quantum Noise
Quantum Physics
2020-02-04 v1 Systems and Control
Systems and Control
Abstract
This brief article gives an overview of quantum mechanics as a {\em quantum probability theory}. It begins with a review of the basic operator-algebraic elements that connect probability theory with quantum probability theory. Then quantum stochastic processes is formulated as a generalization of stochastic processes within the framework of quantum probability theory. Quantum Markov models from quantum optics are used to explicitly illustrate the underlying abstract concepts and their connections to the quantum regression theorem from quantum optics.
Cite
@article{arxiv.1907.11901,
title = {Quantum Stochastic Processes and the Modelling of Quantum Noise},
author = {Hendra I. Nurdin},
journal= {arXiv preprint arXiv:1907.11901},
year = {2020}
}
Comments
14 pages, invited article for the second edition of Springer's Encyclopedia of Systems and Control (to appear). Comments welcome