Volume 30 Issue 11
Nov.  2004
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Lü Xin, Feng Denggu. Quantum algorithm analysis of knapsack problem[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(11): 1088-1091. (in Chinese)
Citation: Lü Xin, Feng Denggu. Quantum algorithm analysis of knapsack problem[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(11): 1088-1091. (in Chinese)

Quantum algorithm analysis of knapsack problem

  • Received Date: 25 Jun 2004
  • Publish Date: 30 Nov 2004
  • 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.

     

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