AIP conference proceedings

Multidimensional Quantum Stochastic Integrals

Joseph Spring, Timothy C. Ralph, Ping Koy Lam

Published Jan 1, 2011• 1 citation

Abstract

Quantum stochastic analogues (H,A{Az}z∈R+,m,R+), of a classical stochastic base may be formed whereby a classical sample space Ω is replaced by a Hilbert Space H, σ‐field F is replaced by a von Neumann algebra b, the filtration {FI}i∈I by a filtration {Bz}z of von Neumann subalgebras of the von Neumann algebra B and the probability measure P with gage m [1]. In this presentation we consider quantum analogues for multidimensional stochastic processes, extending quantum results in [2, 3, 4, 5, 6, 7, 8].

DOI: 10.1063/1.3630154

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