Bouten, Luc and van Handel, Ramon (2008) Discrete approximation of quantum stochastic models. Journal of Mathematical Physics, 49 (10). Art. No. 102109. ISSN 0022-2488. doi:10.1063/1.3001109. https://resolver.caltech.edu/CaltechAUTHORS:BOUjmp08
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Abstract
We develop a general technique for proving convergence of repeated quantum interactions to the solution of a quantum stochastic differential equation. The wide applicability of the method is illustrated in a variety of examples. Our main theorem, which is based on the Trotter–Kato theorem, is not restricted to a specific noise model and does not require boundedness of the limit coefficients.
Item Type: | Article | |||||||||
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Additional Information: | © 2008 American Institute of Physics. Received 16 July 2008; accepted 26 September 2008; published 20 October 2008. | |||||||||
Subject Keywords: | differential equations, quantum theory, stochastic processes | |||||||||
Issue or Number: | 10 | |||||||||
DOI: | 10.1063/1.3001109 | |||||||||
Record Number: | CaltechAUTHORS:BOUjmp08 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:BOUjmp08 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 12126 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Archive Administrator | |||||||||
Deposited On: | 24 Oct 2008 20:53 | |||||||||
Last Modified: | 08 Nov 2021 22:25 |
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