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Grover's algorithm has achieved great success. But quantum search algorithmsstill are not complete algorithms because of Grover's Oracle. We concerned onthis problem and present a new quantum search algorithm in adiabatic modelwithout Oracle. We analyze the general difficulties in quantum searchalgorithms and show how to solve them in the present algorithm. As well thisalgorithm could deal with both single-solution and multi-solution searcheswithout modification. We also implement this algorithm on NMR quantum computer.It is the first experiment which perform a real quantum database search ratherthan a marked-state search.

A Non-Oracle Quantum Search Algorithm and Its Experimental Implementation