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Proof of Security of a Semi-Device-Independent Quantum Key Distribution Protocol |
Peng Xu**, Wan-Su Bao, Hong-Wei Li, Yang Wang, Hai-Ze Bao |
The PLA Information Engineering University, Zhengzhou 450001
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Cite this article: |
Peng Xu, Wan-Su Bao, Hong-Wei Li et al 2017 Chin. Phys. Lett. 34 020302 |
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Abstract Semi-device-independent quantum key distribution (SDI-QKD) has been proposed by applying the quantum dimension correlation, and the security relies on the violation of quantum dimension witness inequalities. We prove the security of the SDI-QKD protocol under the depolarization channel by considering the quantum dimension witness inequalities and minimum entropy and the specific process of the QKD protocol, combining with a four-quantum-state preparation and three measurement bases. We also provide the relationship between the dimension witness value, the error rate and the security key rate by the numerical simulation.
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Received: 09 October 2016
Published: 25 January 2017
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PACS: |
03.67.Dd
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(Quantum cryptography and communication security)
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03.67.Hk
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(Quantum communication)
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Fund: Supported by the National Basic Research Program of China under Grant No 2013CB338002, and the National Natural Science Foundation of China under Grant Nos 11304397 and 61505261. |
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