Multiparameter Quantum Processes over the Clifford Sheet

Abstract

Quantum analogues of classical stochastic constructions have been developed in which a quantum stochastic base consists of a Hilbert space H, a von Neumann algebra A, a filtration {Az}, a gauge m and a parameter space I. In this discussion we employ such a base to introduce multiparameter Clifford processes, quantum stochastic integrals, their relationships and properties.