Aufgrund von Vorbereitungen auf eine neue Version von KOPS, können am Montag, 6.2. und Dienstag, 7.2. keine Publikationen eingereicht werden. (Due to preparations for a new version of KOPS, no publications can be submitted on Monday, Feb. 6 and Tuesday, Feb. 7.)
Type of Publication: | Journal article |
Publication status: | Published |
Author: | Ciaramella, Gabriele; Salomon, Julien; Borzì, Alfio |
Year of publication: | 2015 |
Published in: | International Journal of Control ; 88 (2015), 4. - pp. 682-702. - ISSN 0020-7179. - eISSN 1366-5820 |
DOI (citable link): | https://dx.doi.org/10.1080/00207179.2014.971435 |
Summary: |
The Liouville–von Neumann master equation models closed quantum spin systems that arise in nuclear magnetic resonance applications. In this paper, an efficient and robust computational framework to solve exact-controllability problems governed by the Liouville–von Neumann master equation is presented. The proposed control framework is based on a new optimisation formulation of exact-controllability quantum spin problems that allows the application of efficient computational techniques. This formulation results in an optimality system with four differential equations and an optimality condition. The differential equations are approximated with an appropriate modified Crank–Nicholson scheme and the resulting discretised optimality system is solved with a matrix-free Krylov–Newton scheme combined with a cascadic nonlinear conjugate gradient initialisation. Results of numerical experiments demonstrate the ability of the proposed framework to solve quantum spin exact-controllability control problems.
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Subject (DDC): | 510 Mathematics |
Keywords: | quantum spin systems, Liouville–von Neumann master equation, exact-controllability problem, optimal control theory, optimality conditions, modified Crank–Nicholson scheme, Krylov–Newton scheme |
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CIARAMELLA, Gabriele, Julien SALOMON, Alfio BORZÌ, 2015. A method for solving exact-controllability problems governed by closed quantum spin systems. In: International Journal of Control. 88(4), pp. 682-702. ISSN 0020-7179. eISSN 1366-5820. Available under: doi: 10.1080/00207179.2014.971435
@article{Ciaramella2015-04-03metho-41206, title={A method for solving exact-controllability problems governed by closed quantum spin systems}, year={2015}, doi={10.1080/00207179.2014.971435}, number={4}, volume={88}, issn={0020-7179}, journal={International Journal of Control}, pages={682--702}, author={Ciaramella, Gabriele and Salomon, Julien and Borzì, Alfio} }
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