2Lomonosov Moscow State University,Skobeltsyn Institute of Nuclear Physics, Leninskie Gory, Moscow, 119991, Russian Federation
3Московский технический университет связи и информатики ул. Авиамоторная, 8а, г. Москва, 111024, Россия
4Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141700, Russian Federation
5National Research Lobachevsky State University of Nizhni Novgorod, 603022, Russian Federation
Received February 1, 2017
Using the rapid single flux quantum logic (RSFQ) may provide a more reliable control of superconducting quantum circuits on a chip than control by electromagnetic pulses in resonators and coaxial cables. In this paper we present analytical study and numerical modeling of dynamics for superconducting flux qubit, which is magnetically coupled with a RSFQ lines in order to demonstrate the fundamental possibility of the implementation of simple logic operations on the picosecond time scale as well as fast non-demolishing measurements. It is shown that in solving optimization problems one can conveniently interpret the dynamics of the system as precession of an magnetic moment around the direction of the magnetic field; combinations of matrix elements of the Hamiltonian play the role of the components of the magnetic field, and the role of the magnetic moment —the Bloch vector.