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

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arxiv cond-mat/0202217 v2 pith:YSJJKF5S submitted 2002-02-13 cond-mat.mes-hall quant-ph

classification cond-mat.mes-hallquant-ph
keywords chargeadiabaticjosephsonnon-abelianphasespumpingquantumapplied
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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