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A quantum algorithm for searching a target solution of fixed weight 被引量:8

A quantum algorithm for searching a target solution of fixed weight
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摘要 To search for a target n-product Boolean vector of fixed weight d, we propose an important method involving the notion of a fixed-weight "vector label" accompanied with a vector label restoration algorithm. Based on these, we present a new quantum algorithm designed to search for a fixed-weight target whose computation complexity, specifically O ((Cdn+1)^(1/2)) , is better than that for a classical algorithm. Finally, we use the procedure to search for the NTRU private key as an example to verify the efficiency of the new algorithm in searching for fixed-weight target solutions. To search for a target n-product Boolean vector of fixed weight d, we propose an important method involving the notion of a fixed-weight "vector label" accompanied with a vector label restoration algorithm. Based on these, we present a new quantum algorithm designed to search for a fixed-weight target whose computation complexity, specifically , is better than that for a classical algorithm. Finally, we use the procedure to search for the NTRU private key as an example to verify the efficiency of the new algorithm in searching for fixed-weight target solutions.
出处 《Chinese Science Bulletin》 SCIE EI CAS 2011年第6期484-488,共5页
关键词 搜索目标 量子算法 重量 布尔向量 恢复算法 算法设计 经典算法 NTRU label, quantum search, computation complexity, NTRU
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  • 1YAN FengLi1, GAO Ting2 & LI YouCheng1 1 College of Physics and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China,2 College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China.Quantum secret sharing between multiparty and multiparty with four states[J].Science China(Physics,Mechanics & Astronomy),2007,50(5):572-580. 被引量:18
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