Upper bounds for the number of quantum clones under decoherence

K. Maruyama; P. L. Knight

Upper bounds for the number of quantum clones under decoherence

K. Maruyama^*, P. L. Knight

^*この論文の責任著者

工学科　知能情報工学コース

研究成果: ジャーナルへの寄稿 › 学術論文 › 査読

10 被引用数 (Scopus)

抄録

A possible method to construct an N→M quantum-cloning circuit in order to estimate the number of controlled-NOT gates in it was investigated. Thus, the number of controlled-NOT gates as O(2^2M(M-N)²(2^-2N+M^-1/2)), with N and M the numbers of input and output qubits was estimated, respectively. Hence, the number of gates in the quantum-cloning circuit of the type was always exponential with respect to the number of output qubits.

本文言語	英語
論文番号	032303
ページ（範囲）	032303/1-032303/8
ジャーナル	Physical Review A - Atomic, Molecular, and Optical Physics
巻	67
号	3
出版ステータス	出版済み - 2003/03

ASJC Scopus 主題領域

原子分子物理学および光学

引用スタイル

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AB - A possible method to construct an N→M quantum-cloning circuit in order to estimate the number of controlled-NOT gates in it was investigated. Thus, the number of controlled-NOT gates as O(22M(M-N)2(2-2N+M-1/2)), with N and M the numbers of input and output qubits was estimated, respectively. Hence, the number of gates in the quantum-cloning circuit of the type was always exponential with respect to the number of output qubits.

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Upper bounds for the number of quantum clones under decoherence

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ASJC Scopus 主題領域

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