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QUANTUM-STATISTICAL SIMULATIONS FOR QUANTUM CIRCUITS

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

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 07, 931-945

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.

Keywords: Quantum information; quantum communication; auxiliary field method (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S012918310200367X

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