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A. Friedenauer and E. Sjoeqvist
Noncyclic geometric quantum computation
Phys. Rev. A 67 (2003) 024303


    Geometric quantum computation is extended to the noncyclic case. Adiabatic nuclear magnetic resonance implementations of geometric phase-shift gates at any precession angle and their concomitant fault tolerance with respect to the amplitude of the oscillating field are analyzed. Nonadiabatic one-qubit geometric quantum computation is considered from the noncyclic perspective, with particular emphasis on errors in precession angles.

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