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Auxiliary Field Methods For The Simulation Of Quantum Computation Circuits

Author

Listed:
  • HANS-GEORG MATUTTIS

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

  • KURT FISCHER

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

One obstacle in the simulation of quantum circuits is the high dimension of the Hilbert space. Using auxiliary field decompositions known from many-particle simulation, we can transform the mathematical description of the quantum circuit into a combination low-dimensional product states which can be sampled using Monte Carlo techniques. We demonstrate the method using Simon's algorithm for the detection of the period of a function.

Suggested Citation

  • Hans-Georg Matuttis & Kurt Fischer & Nobuyasu Ito & Masamichi Ishikawa, 2002. "Auxiliary Field Methods For The Simulation Of Quantum Computation Circuits," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(07), pages 917-929.
    • Handle: RePEc:wsi:ijmpcx:v:13:y:2002:i:07:n:s0129183102003681
    DOI: 10.1142/S0129183102003681
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