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.
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.”
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