Hamiltonian for two coupled flux qubits

Preprint

17 October 2003

preprint
Published by arXiv in arXiv

Abstract

In this note, I want to show how to use magnetic energy and electric current consistently on the level of quantum operators. The practical goal is to derive a Hamiltonian for two coupled three-Josephson-junction (3JJ) qubits. This is not quite trivial, for the customary "free" 3JJ Hamiltonian is written in the limit of zero inductance. Neglecting the self-flux is already dubious for one qubit when it comes to readout, and becomes untenable when discussing inductive coupling.

Keywords

CURRENT CONSISTENTLY
HAMILTONIAN FOR TWO
ENERGY AND ELECTRIC
COUPLED FLUX
TWO COUPLED
FLUX QUBITS
QUBITS
3JJ

All Related Versions

Version 1, 2003-10-17, ArXiv
Version 2, 2003-11-14, ArXiv
Version 3, 2003-12-12, ArXiv
Published version: Physical Review B, 71 (6), 064503.

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