TY - GEN

T1 - Multidimensional Quantum Stochastic Integrals

AU - Spring, W.J.

PY - 2011/1/1

Y1 - 2011/1/1

N2 - Quantum stochastic analogues (ℋ,script A,{script A} ,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 script C, the filtration {ℱ} by a filtration {script C} of von Neumann subalgebras of the von Neumann algebra script C and the probability measure ℘ 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].

AB - Quantum stochastic analogues (ℋ,script A,{script A} ,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 script C, the filtration {ℱ} by a filtration {script C} of von Neumann subalgebras of the von Neumann algebra script C and the probability measure ℘ 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].

UR - http://www.scopus.com/inward/record.url?scp=80955126098&partnerID=8YFLogxK

U2 - 10.1063/1.3630154

DO - 10.1063/1.3630154

M3 - Conference contribution

AN - SCOPUS:80955126098

T3 - AIP Conf Procs

SP - 89

EP - 92

BT - Quantum Communication, Measurement and Computing (QCMC)

PB - American Institute of Physics (AIP)

T2 - Quantum Communication, Measurement and Computing (QCMC): The Tenth International Conference

Y2 - 19 July 2010 through 23 July 2010

ER -