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Phys. Rev. A 67, 022317 (2003) [5 pages]

Phase-covariant quantum cloning of qudits

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Heng Fan, Hiroshi Imai, Keiji Matsumoto, and Xiang-Bin Wang
Quantum Computation and Quantum Information Project, ERATO, Japan Science and Technology Corporation, Daini Hongo White Building 201, Hongo 5-28-3, Bunkyo-ku, Tokyo 133-0033, Japan

Received 17 June 2002; revised 19 September 2002; published 28 February 2003

We study the phase-covariant quantum cloning machine for qudits, i.e., the input states in a d-level quantum system have complex coefficients with arbitrary phase but constant module. A cloning unitary transformation is proposed. After optimizing the fidelity between input state and single qudit reduced density operator of output state, we obtain the optimal fidelity for 1 to 2 phase-covariant quantum cloning of qudits and the corresponding cloning transformation.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.67.022317
DOI: 10.1103/PhysRevA.67.022317
PACS: 03.67.Lx, 03.65.Ta, 32.80.Qk

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