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Performance analysis of simultaneous dense coding protocol under decoherence

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Abstract

The simultaneous dense coding (SDC) protocol is useful in designing quantum protocols. We analyze the performance of the SDC protocol under the influence of noisy quantum channels. Six kinds of paradigmatic Markovian noise along with one kind of non-Markovian noise are considered. The joint success probability of both receivers and the success probabilities of one receiver are calculated for three different locking operators. Some interesting properties have been found, such as invariance and symmetry. Among the three locking operators we consider, the SWAP gate is most resistant to noise and results in the same success probabilities for both receivers.

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Acknowledgements

We are very grateful to the reviewers and the editors for their invaluable comments and detailed suggestions that helped to improve the quality of the present paper. This work is supported by the National Natural Science Foundation of China (Grant Nos. 61502179, 61472452, 11647140), the Natural Science Foundation of Guangdong Province of China (Grant No. 2014A030310265), the Science Foundation for Young Teachers of Wuyi University (Grant No. 2015zk01) and the Doctoral Research Foundation of Wuyi University (Grant No. 2017BS07). H.Z. Situ is sponsored by the State Scholarship Fund of the China Scholarship Council.

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Authors and Affiliations

  1. School of Economics and Management, Wuyi University, Jiangmen, 529020, China

    Zhiming Huang

  2. College of Mathematics and Informatics, South China Agricultural University, Guangzhou, 510642, China

    Cai Zhang & Haozhen Situ

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  1. Zhiming Huang
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  2. Cai Zhang
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  3. Haozhen Situ
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Correspondence to Haozhen Situ.

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Huang, Z., Zhang, C. & Situ, H. Performance analysis of simultaneous dense coding protocol under decoherence. Quantum Inf Process 16, 227 (2017). https://doi.org/10.1007/s11128-017-1677-9

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  • DOI: https://doi.org/10.1007/s11128-017-1677-9

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