Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Lanzhou Polytechnic College

Solutions to a Quantum Stochastic Differential Equation

Zhao Xin-mei

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

A sufficient condition of the only existing continuous solution in the generalized operator to Wick form quantum stochastic Cable equation driven by quantum noise was obtained via Hida deg T.

Related papers

Wick Product of White Noise Operators and Its Application to Quantum Stochastic Differential Equations(Quantum Stochastic Analysis and Related Fields)

Nobuaki Obata

数理解析研究所講究録•Aug 1, 1996•0 citations

Quantum stochastic differential equations in terms of quantum white noise

Nobuaki Obata

Nonlinear Analysis•Dec 1, 1997•7 citations

Quantum Stochastic Differential Equations in Terms of Generalized Operators

Xiangjun Wang

Nonlinear quantum stochastic differential equations in term of generalized operators and their Wick products are considered. Existence and uniqueness of solutions are established. The continuity and continuous dependence on initial values of the solution are proved. Examples are illustrated.

Advances in Mathematics•Jan 1, 2003•1 citation

REGULAR SOLUTIONS OF QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS

Franco Fagnola

Quantum Stochastics and Information•Aug 1, 2008•0 citations

ON THE UNITARITY OF STOCHASTIC EVOLUTIONS DRIVEN BY THE SQUARE OF WHITE NOISE

Luigi Accardi, Andreas Boukas, HUI-HSUNG KUO

Using the closed Itô's table for the renormalized square of white noise, recently obtained by Accardi, Hida, and Kuo in Ref. 4, we consider the problem of providing necessary and sufficient conditions for the unitarity of the solutions of a certain type of quantum stochastic differential equations.

Infinite Dimensional Analysis Quantum Probability and Related Topics•Dec 1, 2001•10 citations

Further results on the existence, uniqueness and stability of strong solutions of quantum stochastic differential equations

E. O. Ayoola, AW Gbolagade

Applied Mathematics Letters•Jan 14, 2005•1 citation