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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2021 Volume 313, Pages 59–66 (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

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.

UDC: 517.1

Received: September 22, 2020
Revised: November 25, 2020
Accepted: April 21, 2021

DOI: 10.4213/tm4181


 English version:
Proceedings of the Steklov Institute of Mathematics, 2021, 313, 52–59

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© Steklov Math. Inst. of RAS, 2025