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On non-Adiabatic Holonomoic Quantum Computer

A. E. Margolin, V. I. Strazhev, A. Ya. Tregubovich

quant-pharXiv:quant-ph/0110015

Abstract

Non-adiabatic non-Abelian geometric phase of spin-3/2 system in the rotating magnetic field is considered. Explicit expression for the corresponding effective non-Abelian gauge potential is obtained. This formula can be used for construction of quantum gates in quantum computations.

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