Nonadiabatic Geometric Quantum Computation Using A Single-loop Scenario
  A single-loop scenario is proposed to realize nonadiabatic geometric quantum computation. Conventionally, a so-called multi-loop approach is used to remove the dynamical phase accumulated in the operation process for geometric quantum gates. More intriguingly, we here illustrate in detail how to use a special single-loop method to remove the dynamical phase and thus to construct a set of universal quantum gates based on the nonadiabatic geometric phase shift. The present scheme is applicable to NMR systems and may be feasible in other physical systems. 
Xin-Ding Zhang, Shi-Liang Zhu, L. Hu, and Z. D. Wang