AUXILIARY FIELD METHODS FOR THE SIMULATION OF QUANTUM COMPUTATION CIRCUITS

Hans-Georg Matuttis, Kurt Fischer, Nobuyasu Ito and Masamichi Ishikawa
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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

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 07, 917-929

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.

Keywords: Quantum information; quantum communication; auxiliary field method (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003681

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