Complete Adiabatic Quantum Search in Unsorted Databases
  We propose a new adiabatic algorithm for the unsorted database search problem. This algorithm saves two thirds of qubits than Grover's algorithm in realizations. Meanwhile, we analyze the time complexity of the algorithm by both perturbative method and numerical simulation. The results show it provides a better speedup than the previous adiabatic search algorithm. 
Nanyang Xu, Xinhua Peng, Mingjun Shi, Jiangfeng Du