Faculty of Physics
M.V.Lomonosov Moscow State University
Regular Article

# An Optimization Method for the Calculation of Hamiltonian Matrix Elements for Josephson Flux Qubits

## A. V. Kuznetsov$^1$, N. V. Klenov$^{1,2,3}$

### Moscow University Physics Bulletin 2017. 72. N 3. P. 287

• Article
Annotation

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.

Approved: 2017 August 23
PACS:
85.25.Hv Superconducting logic elements and memory devices; microelectronic circuits
85.25.Dq Superconducting quantum interference devices
03.67.Lx Quantum computation architectures and implementations
03.65.Yz Decoherence; open systems; quantum statistical methods
Rissian citation:
А. В. Кузнецов, Н. В. Кленов.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2017. № 3. С. 111.
Authors
A. V. Kuznetsov$^1$, N. V. Klenov$^{1,2,3}$
$^1$Department of Atomic Physics, Plasma Physics and Microelectronics, Faculty of physics, Lomonosov Moscow State University
$^2$Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
$^3$Moscow Technical University of Communications and Informatics

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