Maximum confidence measurements via probabilistic quantum cloning

doi:10.1088/1674-1056/22/3/030312

Abstract Probabilistic quantum cloning (PQC) cannot copy a set of linearly dependent quantum states. In this paper, we show that if incorrect copies are allowed to be produced, linearly dependent quantum states may also be cloned by the PQC. By exploiting this kind of PQC to clone a special set of three linearly dependent quantum states, we derive the upper bound of the maximum confidence measure of a set. An explicit transformation of the maximum confidence measure is presented.

Keywords: probabilistic quantum cloning quantum state discrimination maximum confidence measurement

Received: 09 June 2012
Revised: 30 July 2012
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.

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

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) Maximum confidence measurements via probabilistic quantum cloning 2013 Chin. Phys. B 22 030312

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