Quantum Stochastic Gradients

Un Cig JI; Nobuaki OBATA

doi:10.4036/iis.2009.345

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

JOURNAL FREE ACCESS

2009 Volume 15 Issue 3 Pages 345-359

DOI https://doi.org/10.4036/iis.2009.345

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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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