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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