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Phys. Rev. A 65, 012304 (2001) [7 pages]

Quantum cloning machines for equatorial qubits

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Heng Fan1, Keiji Matsumoto1, Xiang-Bin Wang1, and Miki Wadati2
1Imai Quantum Computing and Information Project, ERATO, Japan Science and Technology Corporation, Daini Hongo White Bldg. 201, Hongo 5-28-3, Bunkyo-ku, Tokyo 133-0033, Japan
2Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan

Received 8 April 2001; revised 12 September 2001; published 10 December 2001

Quantum cloning machines for equatorial qubits are studied. For the case of a one to two phase-covariant quantum cloning machine, we present the networks consisting of quantum gates to realize the quantum cloning transformations. The copied equatorial qubits are shown to be separable by using Peres-Horodecki criterion. The optimal one to M phase-covariant quantum cloning transformations are given.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.012304
DOI:
10.1103/PhysRevA.65.012304
PACS:
03.67.-a, 03.65.Ta, 89.70.+c