Maximum confidence measurements via probabilistic quantum cloning |
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Authors: | Zhang Wen-Hai Yu Long-Bao Cao Zhuo-Liang Ye Liu |
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Affiliation: | 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 |
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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. |
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Keywords: | probabilistic quantum cloning quantum state discrimination maximum confidence measurement |
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