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Titel
Computational techniques for a quantum control problem with H1-cost
Verfasser/ Verfasserinvon Winckel, Greg ; Borzì, Alfio In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
Inverse Problems, 2008, Jg. 24, H. 3, 034007-1-034007-23
Erschienen2008
Ausgabe
Accepted version
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
ISSN1361-6420
URNurn:nbn:at:at-ubg:3-3676 Persistent Identifier (URN)
DOI10.1088/0266-5611/24/3/034007 
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Computational techniques for a quantum control problem with H1-cost [0.64 mb]
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Zusammenfassung (Englisch)

The accurate numerical computation of optimal controls of infinite-dimensional quantum control problems is a very difficult task that requires us to take into account the features of the original infinite-dimensional problem. An important issue is the choice of the functional space where the minimization process is defined. A systematic comparison of L2- versus H1-based minimization shows that the choice of the appropriate functional space matters and has many consequences in the implementation of some optimization techniques. A matrix-free cascadic BFGS algorithm is introduced in the L2 and H1 settings, and it is demonstrated that the choice of H1 over L2 results in a substantial performance and robustness increase. A comparison between optimal control resulting from function space minimization and the control obtained by minimization over Chebyshev and proper orthogonal decomposition basis function coefficients is presented.

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