中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30312-030312.doi: 10.1088/1674-1056/22/3/030312

• GENERAL • 上一篇    下一篇

Maximum confidence measurements via probabilistic quantum cloning

张文海a, 余龙宝b, 曹卓良b, 叶柳c   

  1. a Department of Physics, Huainan Normal University, Huainan 232038, China;
    b Department of Physics and Electronic Engineering, Hefei Teachers College, Hefei 230061, China;
    c School of Physics and Material Science, Anhui University, Hefei 230039, China
  • 收稿日期:2012-06-09 修回日期:2012-07-30 出版日期:2013-02-01 发布日期:2013-02-01
  • 基金资助:
    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.

Maximum confidence measurements via probabilistic quantum cloning

Zhang Wen-Hai (张文海)a, Yu Long-Bao (余龙宝)b, Cao Zhuo-Liang (曹卓良)b, Ye Liu (叶柳)c   

  1. a Department of Physics, Huainan Normal University, Huainan 232038, China;
    b Department of Physics and Electronic Engineering, Hefei Teachers College, Hefei 230061, China;
    c School of Physics and Material Science, Anhui University, Hefei 230039, China
  • Received:2012-06-09 Revised:2012-07-30 Online:2013-02-01 Published:2013-02-01
  • Contact: Zhang Wen-Hai E-mail:zhangwenhaianhui@yahoo.com.cn
  • Supported by:
    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.

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摘要： 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.

关键词: probabilistic quantum cloning, quantum state discrimination, maximum confidence measurement

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.

Key words: probabilistic quantum cloning, quantum state discrimination, maximum confidence measurement

中图分类号:  (Quantum information)

  • 03.67.-a
03.65.-w (Quantum mechanics)