Quantum control landscape for a two-level system near the quantum speed limit
The core problem in optimal control theory applied to quantum systems is to determine the temporal shape of an applied field in order to maximize the expected value of some physical observable. The complexity of this procedure is given by the structural and topological features of the quantum contro...
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2018
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v51_n38_p_Larocca http://hdl.handle.net/20.500.12110/paper_17518113_v51_n38_p_Larocca |
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paper:paper_17518113_v51_n38_p_Larocca2023-06-08T16:28:45Z Quantum control landscape for a two-level system near the quantum speed limit control landscape quantum optimal control quantum speed limit The core problem in optimal control theory applied to quantum systems is to determine the temporal shape of an applied field in order to maximize the expected value of some physical observable. The complexity of this procedure is given by the structural and topological features of the quantum control landscape (QCL) - i.e. the functional which maps the control field into a given value of the observable. In this work, we analyze the rich structure of the QCL in the paradigmatic Landau-Zener two-level model, and focus in particular on characterizing the QCL when the total evolution time is severely constrained. By studying several features of the optimized solutions, such as their abundance, spatial distribution and fidelities, we are able to rationalize several geometrical and topological aspects of the QCL of this simple model and identify the effects produced by different types of constraint. © 2018 IOP Publishing Ltd. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v51_n38_p_Larocca http://hdl.handle.net/20.500.12110/paper_17518113_v51_n38_p_Larocca |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
control landscape quantum optimal control quantum speed limit |
| spellingShingle |
control landscape quantum optimal control quantum speed limit Quantum control landscape for a two-level system near the quantum speed limit |
| topic_facet |
control landscape quantum optimal control quantum speed limit |
| description |
The core problem in optimal control theory applied to quantum systems is to determine the temporal shape of an applied field in order to maximize the expected value of some physical observable. The complexity of this procedure is given by the structural and topological features of the quantum control landscape (QCL) - i.e. the functional which maps the control field into a given value of the observable. In this work, we analyze the rich structure of the QCL in the paradigmatic Landau-Zener two-level model, and focus in particular on characterizing the QCL when the total evolution time is severely constrained. By studying several features of the optimized solutions, such as their abundance, spatial distribution and fidelities, we are able to rationalize several geometrical and topological aspects of the QCL of this simple model and identify the effects produced by different types of constraint. © 2018 IOP Publishing Ltd. |
| title |
Quantum control landscape for a two-level system near the quantum speed limit |
| title_short |
Quantum control landscape for a two-level system near the quantum speed limit |
| title_full |
Quantum control landscape for a two-level system near the quantum speed limit |
| title_fullStr |
Quantum control landscape for a two-level system near the quantum speed limit |
| title_full_unstemmed |
Quantum control landscape for a two-level system near the quantum speed limit |
| title_sort |
quantum control landscape for a two-level system near the quantum speed limit |
| publishDate |
2018 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v51_n38_p_Larocca http://hdl.handle.net/20.500.12110/paper_17518113_v51_n38_p_Larocca |
| _version_ |
1768546273250508800 |