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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 313, Pages 59–66
DOI: https://doi.org/10.4213/tm4181 (Mi tm4181) 		 
Wigner Measures and Coherent Quantum Control

J. E. Gougha, T. S. Ratiubc, O. G. Smolyanovde

a Institute of Mathematics, Physics and Computer Science, Aberystwyth University, Penglais, Aberystwyth, Ceredigion, SY23 3BZ, UK
b School of Mathematical Sciences, Shanghai Jiao Tong University, 800 Dongchuan Road, Minhang District, Shanghai, 200240, China
c Section de Mathématiques, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
d Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991 Russia
e Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701 Russia
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DOI: https://doi.org/10.4213/tm4181
Abstract: We introduce Wigner measures for infinite-dimensional open quantum systems; important examples of such systems are encountered in quantum control theory. In addition, we propose an axiomatic definition of coherent quantum feedback.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Agence Nationale de la Recherche Q-COAST ANR 19-CE48-0003
European Research Council 884762
National Natural Science Foundation of China 11871334
Swiss National Science Foundation
J. E. Gough was supported by the French National Research Agency (ANR) grant Q-COAST ANR 19-CE48-0003, and through a European Research Council (ERC) project under the European Union's Horizon 2020 research and innovation programme (grant agreement no. 884762). T. S. Ratiu was partially supported by the National Natural Science Foundation of China grant no. 11871334 and by the NCCR Swiss MAP grant of the Swiss National Science Foundation. O. G. Smolyanov was supported by the Ministry of Science and Higher Education of the Russian Federation within the Russian Academic Excellence Project “5-100.”
Received: September 22, 2020
Revised: November 25, 2020
Accepted: April 21, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 313, Pages 52–59
DOI: https://doi.org/10.1134/S0081543821020061
Bibliographic databases:
Document Type: Article
UDC: 517.1
Language: Russian
Citation: J. E. Gough, T. S. Ratiu, O. G. Smolyanov, “Wigner Measures and Coherent Quantum Control”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 59–66; Proc. Steklov Inst. Math., 313 (2021), 52–59
Citation in format AMSBIB
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\vol 313
\pages 59--66
\publ Steklov Math. Inst.
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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