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Discrete approximation of quantum stochastic models

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.

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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.

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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
Record Number:CaltechAUTHORS:BOUjmp08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12126
Deposited By: Archive Administrator
Deposited On:24 Oct 2008 20:53
Last Modified:08 Nov 2021 22:25

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