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《Acta Electronica Sinica》 2012-01
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Phase-Unmatched Quantum Search Algorithm

JIN Wen-liang,CHEN Xiang-dong (School of Information Science and Technology,Southwest Jiaotong University,Chengdu,Sichuan 610031,China)  
For the case when the search space is confined to a two-dimensional complex subspace,if the total number of an unsorted database is sufficiently large,then a unique desired state can still be found with high success probability provided any two sets of phase rotation angles,which are completely independent(unrelated to each other) but the number of elements in one of the sets is relatively small compared to the total number of an unsorted database,satisfy the multiphase matching equation.In this paper we showed that for a quantum search problem with some specific requirements,one may combine the multiphase matching equation and the classical exhaustive algorithm such that a unique desired state can be found with success probability almost close to unity.Finally,we gave a numerical example.
【CateGory Index】: TP301.6
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