IJPAM: Volume 49, No. 3 (2008)
OVER THE CLIFFORD SHEET
Quantum Information and Probability Group
School of Computer Science
University of Hertfordshire
Hatfield, Herts, AL10 9AB, U.K.
Abstract.Quantum analogues of classical stochastic constructions have been developed in which a quantum stochastic base consists of a Hilbert space , a von Neumann algebra , a filtration , a gauge and a parameter space . In this discussion we employ such a base to introduce multiparameter Clifford processes, quantum stochastic integrals, their relationships and properties.
Received: August 14, 2008
AMS Subject Classification: 15A66
Key Words and Phrases: quantum stochastic integral, isometry, martingale
Source: International Journal of Pure and Applied Mathematics