Multidimensional Quantum Stochastic Integrals
Joseph Spring, Timothy C. Ralph, Ping Koy Lam
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].
AIP conference proceedings•Jan 1, 2011•1 citation