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�������պ����ѧѧ�� 2004, Vol. 30 Issue (11) :1088-1091    DOI:
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Quantum algorithm analysis of knapsack problem
Lü Xin, Feng Denggu*
State Key Laboratory of Information Security, Graduate School, Chinese Academic of Science, Bejing 100039, China

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Abstract�� Speeding up knapsack problem, one of the NP complete problems, which could be us ed to design public-key cryptosy stems, was discussed using quantum algorithm. How to use Grover's quantum search ing algorithm to speed up the knapsack problem was talked about based on computa tional complexity theory. Comparisons of quantum searching algorithm with Shor's factoring algorithm were delivered and the factors that affected the performanc e of quantum algorithms were discussed from group theory point of view. The futu re of the quantum algorithms was also augmented in the later.
Keywords�� quantum computation   knapsack problem   complexity theory   cryptanalysis     
Received 2004-06-25;
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����, ��ǹ�.��������������㷨����[J]  �������պ����ѧѧ��, 2004,V30(11): 1088-1091
L�� Xin, Feng Denggu.Quantum algorithm analysis of knapsack problem[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2004,V30(11): 1088-1091
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