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Controlled quantum secure direct communication by entanglement distillation or generalized measurement

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Abstract

We propose two controlled quantum secure communication schemes by entanglement distillation or generalized measurement. The sender Alice, the receiver Bob and the controllers David and Cliff take part in the whole schemes. The supervisors David and Cliff can control the information transmitted from Alice to Bob by adjusting the local measurement angles \(\theta _4\) and \(\theta _3\). Bob can verify his secret information by classical one-way function after communication. The average amount of information is analyzed and compared for these two methods by MATLAB. The generalized measurement is a better scheme. Our schemes are secure against some well-known attacks because classical encryption and decoy states are used to ensure the security of the classical channel and the quantum channel.

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Acknowledgments

The research is funded by National Natural Science Foundation of China, under Grant Nos. 61472165, 61401176 and 61502200, and Science and Technology Planning Project of Guangdong Province, China, under Grant Nos. 2013B010401018, 2014B090903008, 2015B010109006 and 2015B010128008, and Natural Science Foundation of Guangdong Province, China, under Grant No. 2014A030310245.

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  1. Department of Mathematics, Jinan University, Guangzhou, 510632, People’s Republic of China

    Xiaoqing Tan & Xiaoqian Zhang

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  1. Xiaoqing Tan
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  2. Xiaoqian Zhang
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Correspondence to Xiaoqing Tan.

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Tan, X., Zhang, X. Controlled quantum secure direct communication by entanglement distillation or generalized measurement. Quantum Inf Process 15, 2137–2154 (2016). https://doi.org/10.1007/s11128-016-1268-1

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