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Phys. Rev. E 70, 016704 (2004) [9 pages]

Efficient algorithms for the laboratory discovery of optimal quantum controls

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Gabriel Turinici*
INRIA Rocquencourt, MICMAC project, Domaine de Voluceau, Rocquencourt B.P. 105, 78153 Le Chesnay Cedex, France

Claude Le Bris†
CERMICS-ENPC, Champs sur Marne, 77455 Marne la Vallée Cedex, France

Herschel Rabitz‡
Department of Chemistry, Princeton University, Princeton, New Jersey 08544-1009, USA

Received 18 December 2003; published 20 July 2004

The laboratory closed-loop optimal control of quantum phenomena, expressed as minimizing a suitable cost functional, is currently implemented through an optimization algorithm coupled to the experimental apparatus. In practice, the most commonly used search algorithms are variants of genetic algorithms. As an alternative choice, a direct search deterministic algorithm is proposed in this paper. For the simple simulations studied here, it outperforms the existing approaches. An additional algorithm is introduced in order to reveal some properties of the cost functional landscape.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.016704
DOI:
10.1103/PhysRevE.70.016704
PACS:
02.70.−c, 32.80.Qk, 42.50.Vk

*Also at CERMICS-ENPC, Champs sur Marne, 77455 Marne la Vallée Cedex, France. Electronic address: gabriel.turinici@inria.fr

†Also at INRIA Rocquencourt, MICMAC project, Domaine de Voluceau, Rocquencourt B.P. 105, 78153 Le Chesnay Cedex, France. Electronic address: lebris@cermics.enpc.fr

‡Electronic address: hrabitz@princeton.edu

 
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