Optimal 1→M phase-covariant cloning in three dimensions

doi:10.1088/1674-1056/23/7/070304

Abstract In this paper, we derive the explicit transformations of the optimal 1→3, 4, 5 phase-covariant cloning in three dimensions, and then generalize them to the cases of 1→M = 3n, 3n+1, 3n+2 (n≥1 integer) cloning. The clone fidelities are coincident with the theoretical bounds found.

Keywords: quantum cloning universal quantum cloning phase-covariant cloning

Received: 23 August 2013
Revised: 08 January 2014
Accepted manuscript online:

PACS:	03.67.-a	(Quantum information)
	03.65.-w	(Quantum mechanics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074002, 61073048, and 11104057), the Natural Science Foundation of the Education Department of Anhui Province, China (Grant Nos. KJ2010ZD08 and KJ2012A245), and the Postgraduate Program of Huainan Normal University of China.

Corresponding Authors: Zhang Wen-Hai
E-mail: zhangwenhaianhui@aliyun.com

About author: 03.67.-a; 03.65.-w

Cite this article:

Zhang Wen-Hai (张文海), Yu Long-Bao (余龙宝), Cao Zhuo-Liang (曹卓良), Ye Liu (叶柳) Optimal 1→M phase-covariant cloning in three dimensions 2014 Chin. Phys. B 23 070304

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