A geometric phase gate without dynamical phases

Details A geometric phase gate without dynamical phases A geometric phase gate without dynamical phases

2003-08-12

arxiv.org/abs/quant-ph/0308067v1

Physics

Quantum Physics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevA.69.050302

A general scheme for an adiabatic geometric phase gate is proposed which is maximally robust against parameter fluctuations. While in systems with SU(2) symmetry geometric phases are usually accompanied by dynamical phases and are thus not robust, we show that in the more general case of a SU(2) x SU(2) symmetry it is possible to obtain a non-vanishing geometric phase without dynamical contributions. The scheme is illustrated for a phase gate using two systems with dipole-dipole interactions in external laser fields which form an effective four-level system.

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