A Non-Oracle Quantum Search Algorithm and Its Experimental   Implementation
  Grover's algorithm has achieved great success. But quantum search algorithms still are not complete algorithms because of Grover's Oracle. We concerned on this problem and present a new quantum search algorithm in adiabatic model without Oracle. We analyze the general difficulties in quantum search algorithms and show how to solve them in the present algorithm. As well this algorithm could deal with both single-solution and multi-solution searches without modification. We also implement this algorithm on NMR quantum computer. It is the first experiment which perform a real quantum database search rather than a marked-state search. 
Nanyang Xu, Jin Zhu, Xinhua Peng, Xianyi Zhou, and Jiangfeng Du