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Hamiltonian identification in presence of large control field perturbations

Fu, Ying; Rabitz, Herschel; Turinici, Gabriel (2016), Hamiltonian identification in presence of large control field perturbations, Journal of Physics. A, Mathematical and Theoretical, 49, 49, p. n°495301. 10.1088/1751-8113/49/49/495301

Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-01326060
Date
2016
Journal name
Journal of Physics. A, Mathematical and Theoretical
Volume
49
Number
49
Publisher
IOP Publishing
Published in
Paris
Pages
n°495301
Publication identifier
10.1088/1751-8113/49/49/495301
Metadata
Show full item record
Author(s)
Fu, Ying
Rabitz, Herschel
Turinici, Gabriel cc
Abstract (EN)
Quantum system inversion concerns learning the characteristics of the underlying Hamiltonian by measuring suitable observables from the responses of the system's interaction with members of a set of applied fields. Various aspects of inversion have been confirmed in theoretical, numerical and experimental works. Nevertheless, the presence of noise arising from the applied fields may contaminate the quality of the results. In this circumstance, the observables satisfy probability distributions, but often the noise statistics are unknown. Based on a proposed theoretical framework, we present a procedure to recover both the unknown parts of the Hamiltonian and the unknown noise distribution. The procedure is implemented numerically and seen to perform well for illustrative Gaussian, exponential and bi-modal noise distributions.
Subjects / Keywords
quantum control; quantum inversion; quantum controllability

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