Phys. Rev. A, 2020, Volume 101, 52320, 15 pp.
Probability representation of quantum dynamics using pseudostochastic maps
E. O. Kiktenkoabc, A. O. Malyshevac, A. S. Mastiukovaac, V. I. Man'koacd, A. K. Fedorovac, D. Chruścińskie
a Russian Quantum Center, Skolkovo, Moscow 143025, Russia
b Department of Mathematical Methods for Quantum Technologies, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow 119991, Russia
c Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia
d P.N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow 119991, Russia
e Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Toruń 87100, Poland
|Russian Science Foundation
|Narodowe Centrum Nauki
|Ministry of Education and Science of the Russian Federation
|We acknowledge use of the IBM Q Experience for this work. The views expressed are those of the authors and do not reflect the official policy or position of IBM or the IBM Q Experience team. The authors thank A. Ulanov, M. Gavreev, E. Tiunov, and D. Kurlov for fruitful discussions. Results of Secs. II, IIIA, IIIB, and IV were obtained by E.O.K. and V.I.M. with the support from the Russian Science Foundation Grant No. 19-71-10091. Results of Sec. IIIC have been obtained by D.C. supported by Narodowe Centrum Nauki under Grant No. 2018/30/A/ST2/00837. Results of Sec. V were obtained by A.K.F., A.O.M., and A.S.M. with the support from the grant of the President of the Russian Federation (Project No. MK923.2019.2).
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