Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Special Issue: New Trends in Infinite Dimensional Analysis and Quantum Probability
Quantum Stochastic Gradients
Un Cig JI, Nobuaki OBATA
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Keywords: Hitsuda-Skorohod integral, quantum stochastic integral, quantum white noise, stochastic gradient, white noise operator
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2009 Volume 15 Issue 3 Pages 345-359

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Abstract
We obtain regularity properties of the quantum stochastic gradients (creation, annihilation and conservation gradients) by systematic study of their various domains. Accordingly, regularity properties of the (non-adapted) quantum stochastic integrals of Hitsuda–Skorohod type follow by duality.
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© 2009 by the Graduate School of Information Sciences (GSIS), Tohoku University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/
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