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Quantum-Statistical Simulations For Quantum Circuits

Author

Listed:
  • KURT FISCHER

    (Mitsubishi Research Institute, Frontier Science Institute, Otemachi 2-3-6, Chiyoda-Ku, Tokyo 100-8141, Japan)

  • HANS-GEORG MATUTTIS

    (Department of Applied Physics, School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113, Japan)

  • NOBUYASU ITO

    (Department of Applied Physics, School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113, Japan)

  • MASAMICHI ISHIKAWA

    (Mitsubishi Research Institute, Frontier Science Institute, Otemachi 2-3-6, Chiyoda-Ku, Tokyo 100-8141, Japan)

Abstract

Using a Hubbard–Stratonovich like decomposition technique, we implemented simulations for the quantum circuits of Simon's algorithm for the detection of the periodicity of a function and Shor's algorithm for the factoring of prime numbers on a classical computer. Our approach has the advantage that the dimension of the problem does not grow exponentially with the number of qubits.

Suggested Citation

  • Kurt Fischer & Hans-Georg Matuttis & Nobuyasu Ito & Masamichi Ishikawa, 2002. "Quantum-Statistical Simulations For Quantum Circuits," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(07), pages 931-945.
    • Handle: RePEc:wsi:ijmpcx:v:13:y:2002:i:07:n:s012918310200367x
    DOI: 10.1142/S012918310200367X
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