Non-Abelian phases, charge pumping, and quantum computation with Josephson junctions

Lara Faoro, Jens Siewert, Rosario Fazio

Published 2002-02-13, updated 2002-09-27Version 2

Non-Abelian geometric phases can be generated and detected in certain superconducting nanocircuits. Here we consider an example where the holonomies are related to the adiabatic charge dynamics of the Josephson network. We demonstrate that such a device can be applied both for adiabatic charge pumping and as an implementation of a quantum computer.