Wigner Measures and Coherent Quantum Control
J. E. Gough a ,
T. S. Ratiu bc ,
O. G. Smolyanov de 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
© , 2025