Volume 100, Issue 6 pp. 1033-1037

Fast preparation method of effective pure states for NMR-quantum computer with controlled-not gates

Minaru Kawamura

Corresponding Author

Minaru Kawamura

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

Department of Electronic Engineering, Faculty of Engineering, Okayama University of Science, Ridai-cho 1-1, Okayama 700-0005, JapanSearch for more papers by this author
Ryuichi Sawae

Ryuichi Sawae

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

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Takashi Kumaya

Takashi Kumaya

Graduate School of Science, Okayama University of Science, Ridai-cho 1-1, Okayama 700-0005, Japan

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Kenichi Takarabe

Kenichi Takarabe

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

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Yoshinori Manmoto

Yoshinori Manmoto

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

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Toshio Sakata

Toshio Sakata

Department of Human Living System Design, Faculty of Design, Kyushu University, Fukuoka, Japan

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First published: 30 August 2004
Citations: 6

Abstract

A fast method to prepare effective pure states for NMR-quantum computer in homo-nuclear spin system is proposed. The temporal averaging method has been introduced to prepare an effective pure state in NMR-quantum computer, but the method requires many experiments, whose number increases exponentially with the number of quantum bits (qubits), and it seems that a huge number of logical gates are required. The proposed method avoids this problem by eliminating a part of elements in the density matrices. This method requires only one ancillary qubit and two different experiments; the steps have been confirmed to be proportional to the number of qubits up to four-qubit. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004

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