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Quantum circuits for an effective pure state in NMR quantum computer

Authors

  • Yoshiyuki Mori,

    1. Department of Applied Mathematics, Faculty of Science, Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005, Japan
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  • Ryuichi Sawae,

    Corresponding author
    1. Department of Applied Mathematics, Faculty of Science, Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005, Japan
    • Department of Applied Mathematics, Faculty of Science, Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005, Japan
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  • Minaru Kawamura,

    1. Department of Electronic Engineering, Faculty of Engineering, Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005, Japan
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  • Toshio Sakata,

    1. Department of Industrial Design, Faculty of Design, Kyushu University, 4-9-1 Siobaru, Fukuoka 815-8540, Japan
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  • Kenichi Takarabe

    1. Department of Applied Science, Faculty of Science, Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005, Japan
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Abstract

In nuclear magnetic resonance (NMR) quantum computing systems, it is very important to prepare an effective pure state rather than a true pure state. Our main objective is to present a general algorithm that provides quantum circuits for preparing an effective pure state from any mixed state, consisting only of controlled-not (CNOT) quantum gates for homonuclear spin systems. Our algorithm is based on the product operator approach and could be applicable to NMR quantum computing systems with more than eight qubits. Optimization of the number of controlled-not quantum gates is discussed. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005

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