Fizika Nizkikh Temperatur: Volume 43, Number 7 (July 2017), p. 991-1002    ( to contents , go back )

Interaction of flux qubits with single flux quantum circuits

N.V. Klenov1–4, A.V. Kuznetsov1, I.I. Soloviev2,4, S.V. Bakurskiy2,4, M.V. Denisenko5, and A.M. Satanin5

1Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991, Russian Federation
E-mail: nvklenov@gmail.com

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

Abstract

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.

PACS: 85.25.Cp Josephson devices;
PACS: 85.25.Hv Superconducting logic elements and memory devices; microelectronic circuits;
PACS: 85.25.Dq Superconducting quantum interference devices (SQUIDs).

Key words: f flux qubits, rapid single flux quantum logic, quantum measurements, Bloch equation, qubit Hamiltonian matrix.

Published online: May 25, 2017

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