2009/03/31 by Yukihiro Ota, Yasusi Kondo · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.80.024302
published as Phys. Rev. A 80, 024302 (2009)
arxiv created 2009/08/07 · arxiv updated 2009/12/01
We show that some composite pulses widely employed in NMR experiments are regarded as non-adiabatic geometric quantum gates with Aharanov-Anandan phases. Thus, we reveal the presence of a fundamental issue on quantum mechanics behind the traditional technique of the composite pulses. To examine the robustness of such composite pulses against fluctuations, we present a practical noise model in a two-level system. Then, we find that the composite pulses possesses purely geometrical nature even under a specific type of fluctuations.