Proper magnetic fields for nonadiabatic geometric quantum gates in NMR

Details Proper magnetic fields for nonadiabatic geometric quantum gates in NMR Proper magnetic fields for nonadiabatic geometric quantum gates in NMR

2003-05-20

arxiv.org/abs/quant-ph/0305109v1

Physics

Quantum Physics

LaTeX, 4pages

Scientific paper

10.1103/PhysRevA.68.034304

In a scheme of nonadiabatic purely geometric quantum gates in nuclear magnetic resonance(NMR) systems we propose proper magnitudes of magnetic fields that are suitable for an experiment. We impose a natural condition and reduce the degree of freedom of the magnetic fields to the extent. By varying the magnetic fields with essentially one-dimensional degree of freedom, any spin state can acquire arbitrary purely geometric phase \phi_{g}=-2\pi(1-cos{theta}), 0 < cos{\theta} < 1. This is an essential ingredient for constructing universal geometric quantum gates.

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