Multidimensional Quantum Stochastic Integrals

W.J. Spring

doi:10.1063/1.3630154

Multidimensional Quantum Stochastic Integrals

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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].

Original language	English
Title of host publication	Quantum Communication, Measurement and Computing (QCMC)
Subtitle of host publication	The Tenth International Conference
Publisher	American Institute of Physics (AIP)
Pages	89-92
Number of pages	4
ISBN (Electronic)	978-0-7354-0921-7
DOIs	https://doi.org/10.1063/1.3630154
Publication status	Published - 1 Jan 2011
Event	Quantum Communication, Measurement and Computing (QCMC): The Tenth International Conference - Brisbane, Australia Duration: 19 Jul 2010 → 23 Jul 2010

Publication series

Name	AIP Conf Procs
Publisher	American Institute of Physics
Volume	1363

Conference

Conference	Quantum Communication, Measurement and Computing (QCMC): The Tenth International Conference
Country/Territory	Australia
City	Brisbane
Period	19/07/10 → 23/07/10

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10.1063/1.3630154

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abstract = "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].",

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doi = "10.1063/1.3630154",

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publisher = "American Institute of Physics (AIP)",

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Spring, WJ 2011, Multidimensional Quantum Stochastic Integrals. in Quantum Communication, Measurement and Computing (QCMC): The Tenth International Conference. AIP Conf Procs, vol. 1363, American Institute of Physics (AIP), pp. 89-92, Quantum Communication, Measurement and Computing (QCMC): The Tenth International Conference , Brisbane, Australia, 19/07/10. https://doi.org/10.1063/1.3630154

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ER -

Multidimensional Quantum Stochastic Integrals

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