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Quantum Hamiltonian and dipole moment identification in presence of large control perturbations
Fu, Ying1  ; Turinici, Gabriel1, 2 
1 UniversitéParis-Dauphine, PSL Research University, CNRS, Ceremade, 75016 Paris, France.
2 Institut Universitaire de France, 1 Rue Descartes, 75231 Paris cedex 05, France.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 3, pp. 1129-1143

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The problem of recovering the Hamiltonian and dipole moment is considered in a bilinear quantum control framework. The process uses as inputs some measurable quantities (observables) for each admissible control. If the implementation of the control is noisy the data available is only in the form of probability laws of the measured observable. Nevertheless it is proved that the inversion process still has unique solutions (up to phase factors). Both additive and multiplicative noises are considered. Numerical illustrations support the theoretical results.

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DOI : 10.1051/cocv/2016026
Classification : 93-XX, 49-XX, 81Q93
Keywords: Quantum control, quantum identification

Fu, Ying 1 ; Turinici, Gabriel 1, 2

1 UniversitéParis-Dauphine, PSL Research University, CNRS, Ceremade, 75016 Paris, France.
2 Institut Universitaire de France, 1 Rue Descartes, 75231 Paris cedex 05, France. 
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     title = {Quantum {Hamiltonian} and dipole moment identification in presence of large control perturbations},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1129--1143},
     publisher = {EDP-Sciences},
     volume = {23},
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Fu, Ying; Turinici, Gabriel. Quantum Hamiltonian and dipole moment identification in presence of large control perturbations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 3, pp. 1129-1143. doi: 10.1051/cocv/2016026

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