期刊文献+

求列表极小值的量子算法 被引量:4

A Quantum Algorithm for Finding Minimum
下载PDF
导出
摘要 求列表极小值的算法具有广泛的应用。如果能够找到有效的求列表极小值的量子算法,那就可以找到求列表极大值的量子算法,从而与Grover量子搜索算法、求中值量子算法一起构成一套有效的量子算法体系。这些算法将构成用量子计算求解实际应用问题的核心和基础,并为量子算法的进一步研究提供坚实的基础。该文给出了一个时间复杂度为O(N√)的求列表极小值的量子算法。 The Quant um algorithm for finding minimum has widely application.If finding a fast searchi ng algorithm,we can build the architecture of quantum computing.In this paper ,the authors give an effective quantum algorithm for finding minimum,and have proved its time complexity to O(N√).
出处 《计算机工程与应用》 CSCD 北大核心 2003年第14期37-39,69,共4页 Computer Engineering and Applications
基金 国家自然科学基金(编号:60173040) 国家863高技术研究发展计划(编号:863-SOC-Y-3-2-1)
关键词 搜索算法 量子计算 极小值 Searching Algorithm,Quantum Computing,minimum
  • 相关文献

参考文献1

二级参考文献9

  • 1Peter W Shor. Algorithm for Quantum Computation:Discrete Logarithms and Factoring[A]. Proc of the 35th Annual IEEE Symp on Foundations of Computer Science[C]. 1994.
  • 2Lov K Grover. A Fast Quantum Mechanical Algorithm for Database Search[A]. Proc of the 28th Annual ACM Symp on Theory of Computing[C]. 1996.
  • 3Michel Boyer, Gilles Brassard,Peter Hoyer,et al. Tight Bounds on Quantum Searching[A]. Proc of the Workshop on Physics and Computation(PhysComp96)[C]. 1996.36-43.
  • 4A Elitzur, L Vaidman. Quantum Mechanical Intercation Free Measurements[J]. Foundations of Physics 23,1993.
  • 5Lov K Grover. Quantum Search on Structured Problems[J]. Chaos, Solitons,and Fractaks,1999,10:1695-1705.
  • 6David P DiVincenzo. Quantum Computation[J]. Science, 1995,270:255-261.
  • 7Vladimir Cenry. Quantum Computers and Intractable (NP-Complete) Computing Problems[J]. Physical Review A, 1993,48:116-119.
  • 8D Deutsch. Quantum Theory, the Church-Turing Princple and the Universal Quantum Computer[J]. Pro R Soc London A,1985, 400:97-117.
  • 9Tad Hogg. Quantum Search Heuristics[J]. Physics Review A,2000,61:052311.

共引文献8

同被引文献29

  • 1吕欣,冯登国.背包问题的量子算法分析[J].北京航空航天大学学报,2004,30(11):1088-1091. 被引量:6
  • 2孙力,须文波.量子搜索算法体系及其应用[J].计算机工程与应用,2006,42(14):55-57. 被引量:7
  • 3李盼池,李士勇.一种Grover量子搜索算法的改进策略[J].智能系统学报,2007,2(1):35-39. 被引量:6
  • 4周日贵,谢强,姜楠,丁秋林.多模式高概率量子搜索算法[J].南京航空航天大学学报,2007,39(2):227-230. 被引量:6
  • 5Shor P W. Algorithms for quantum computation:Discrete logarithms and factoring[ C ]. Proceedings of the 35^th Annual IEEE Symposium on Foundations of Computer Science, 1994. 124-134.
  • 6Grover L K. A fast quantum mechanical algorithm for database search [ C ]. New York:Proceedings of the 28ta Annual ACM Symposium on Theory of Computing, Association for Computing Machinery, 1996.
  • 7R. Landauer. Irreversibility and heat generation of the computing process [ EB/OL]. https://www. research. ibm. com/journal/rd/053/ibmrd0503C.pdf. IBM J. RES. DEV, 2000.
  • 8V. Protopopescu, J. Barhen. Solving a class of continuous global optimization problems using quantum algorithms [ J ]. Physics Letters A,2002,296 (2002) :9-14.
  • 9Ventura D, Martinez T. Quantum Associative Memory. Information Science, 2000 ; 124:273-296.
  • 10Biron D, Biham O, Biham E, et aL Generalized Grover search algo- rithm for arbitrary initial amplitude distribution. Lecture Notes In Computer Science, 1998 ; 15 (09) : 140-147.

引证文献4

二级引证文献14

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部