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Time-optimal monotonically convergent algorithm with an application to the control of spin systems

Sugny, Dominique; Lapert, Marc; Salomon, Julien (2012), Time-optimal monotonically convergent algorithm with an application to the control of spin systems, Physical Review. A, Atomic, Molecular and Optical Physics, 85, 3, p. n°033406. http://dx.doi.org/10.1103/PhysRevA.85.033406

Type
Article accepté pour publication ou publié
Date
2012
Journal name
Physical Review. A, Atomic, Molecular and Optical Physics
Volume
85
Number
3
Publisher
Published by the American Physical Society through the American Institute of Physics
Pages
n°033406
Publication identifier
Metadata
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Author(s)
Sugny, Dominique
Lapert, Marc
Salomon, Julien
Abstract (EN)
We present a new formulation of monotonically convergent algorithms which allows to optimize both the control duration and the laser fluence. A standard algorithm designs a control field of fixed duration which both brings the system close to the target state and minimizes the laser fluence, whereas here we include in addition the optimization of the duration in the cost functional. We apply this new algorithm to the control of spin systems in Nuclear Magnetic Resonance. We show how to implement CNOT gates in systems of two and four coupled spins.
Subjects / Keywords
NMR; Quantum Control; optimal control