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Phys. Rev. Lett. 90, 028301 (2003) [4 pages]

Non-Abelian Holonomies, Charge Pumping, and Quantum Computation with Josephson Junctions

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Lara Faoro1, Jens Siewert2, and Rosario Fazio3
1INFM & Institute for Scientific Interchange (ISI), Viale Settimo Severo 65, 10133 Torino, Italy
2Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
3NEST-INFM & Scuola Normale Superiore, 56126 Pisa, Italy

Received 15 January 2002; published 16 January 2003

Non-Abelian holonomies can be generated and detected in certain superconducting nanocircuits. Here we consider an example where the non-Abelian operations 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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.028301
DOI:
10.1103/PhysRevLett.90.028301
PACS:
85.25.Cp, 03.67.Lx