• DocumentCode
    3108361
  • Title

    Quantum Algorithms and Mathematical Representation of Bio-molecular Solutions for the Hitting-set Problem on a Quantum Computer

  • Author

    Chang, Weng-Long ; Ren, Ting-Ting ; Feng, Mang ; Jun Luo ; Lin, Kawuu Weicheng ; Guo, Minyi ; Lu, Lai Chin ; Jong, Gwo-Jia ; Wang, Chih-Chiang

  • Author_Institution
    Nat. Kaohsiung Univ. of Appl. Sci., Kaohsiung, Taiwan
  • fYear
    2010
  • fDate
    26-28 Sept. 2010
  • Firstpage
    721
  • Lastpage
    724
  • Abstract
    In this paper, it is demonstrated that quantum implementation of bio-molecular solutions to compute the number of elements in each hitting-set in an instance of the hitting-set problem could be considered as the oracle work in Grover´s algorithm, i.e., the target state labeling, preceding Grover´s searching steps. Finally, for testing our theory, a three-qubit nuclear magnetic resonance (NMR) experiment of solving the simplest hitting-set problem is performed.
  • Keywords
    biological NMR; biology computing; quantum computing; Grover algorithm; NMR; bio-molecular solution; hitting-set problem; mathematical representation; quantum algorithm; quantum computer; target state labeling; three-qubit nuclear magnetic resonance; Algorithm design and analysis; Electronic mail; Finite element methods; Law; Nuclear magnetic resonance; Quantum computing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Aspects of Social Networks (CASoN), 2010 International Conference on
  • Conference_Location
    Taiyuan
  • Print_ISBN
    978-1-4244-8785-1
  • Type

    conf

  • DOI
    10.1109/CASoN.2010.165
  • Filename
    5636950