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

Lara Faoro, Jens Siewert, Rosario Fazio

DOI 10.1103/PhysRevLett.90.028301 · Physical Review Letters

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Abstract

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.

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