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It is becoming an important research issue to search the Web rapidly and effectively from a mass of information. Information retrieval for resolved these problems provide a chance. In this paper, a new adaptive method of information retrieval Web documents is proposed. We give an algorithm QIGA which combines genetic algorithm and quantum computing based on vector space model (VSM). This algorithm avoids the disadvantage of Web documents by using pure genetic algorithm which can not be utilized accurately. Experimental results show that our method can be adopted effectively in practice and is superior to other algorithms.