An optimization method for the calculation of Hamiltonian matrix elements for Josephson flux qubits


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Abstract

This work aims to describe the method of analytical calculation of an orthonormalized basis of states of the Josephson flux quantum bits (qubits) using a two-level approximation under the condition that the potential energy of the system is a combination of two potential wells separated by a tunnel barrier. For illustration, the calculation results in the case of the well-known three- and four-junction flux qubits, as well as promising silent qubits, are presented.

About the authors

A. V. Kuznetsov

Department of Physics

Author for correspondence.
Email: kuznetsov-1992@mail.ru
Russian Federation, Moscow, 119991

N. V. Klenov

Department of Physics; Moscow Technological Institute (MIREA); Moscow Technical University of Communications and Informatics

Email: kuznetsov-1992@mail.ru
Russian Federation, Moscow, 119991; pr. Vernadskogo 78, Moscow, 119454; Moscow, 111024

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