Noncommutative Probability Models in Quantum Communication and Multi-Agent Stochastic Control

J. S. Baras

Richerche di Automatica, Vol. X, No. 2, pp. 21-265, December 1979.

Abstract

In this paper we present a survey of basic results in quantum communication theory that utilize heavily so called noncommutative probability models. We indicate by means of examples how these mathematical methods can lead to actual computations in specific examples. We offer a careful review of these non-commutative models and we observe the similarities with desired features in the representation of the statistics in multi-agent stochastic control problems. We then give suggestions for intergreting some of the basic constructs of quantum models in the language of multi-agent stochastic control systems.