Proposal for implementing universal superadiabatic geometric quantum   gates in nitrogen-vacancy centers
  We propose a feasible scheme to implement a universal set of quantum gates based on geometric phases and superadiabatic quantum control. Consolidating the advantages of both strategies, the proposed quantum gates are robust and fast. The diamond nitrogen-vacancy center system is adopted as a typical example to illustrate the scheme. We show that these gates can be realized in a simple two-level configuration by appropriately controlling the amplitude, phase, and frequency of just one microwave field. The gate's robust and fast features are confirmed by comparing the fidelity of the proposed superadiabatic geometric phase (controlled-PHASE) gate with those of two other kinds of phase (controlled-PHASE) gates. 
Zhen-Tao Liang, Xianxian Yue, Qingxian Lv, Yan-Xiong Du, Wei Huang,   Hui Yan, and Shi-Liang Zhu
quant-ph