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Source-device-independent randomness expansion using quantum random access codes

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Abstract

In this paper, we discuss quantum randomness expansion using the unreliable source device and the honest measure device consisting of mutually unbiased bases in 3-dimensional Hilbert space. Then, we obtain the relationship between 3-dimensional quantum witness and random number generation rate. Furthermore, the analytic expression of the relationship is given, which is of great significance for security analysis and practical application. This work can be considered a preliminary attempt for semi-device-independent quantum random number extension protocols in 3-dimensional Hilbert space.

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Acknowledgements

This work is supported by Natural Science Foundation of China (Grant Nos. 61901218, 62002162, 62172216), Natural Science Foundation of Jiangsu Province, China (Grant Nos. BK20190407, BK20200442, BK20211180), the Research Fund of State Key Laboratory of Integrated Services Networks (No. ISN23-20), and the Research Fund of Guangxi Key Laboratory of Cryptography and Information Security (No. GCIS202107).

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Authors and Affiliations

  1. College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China

    Yu-Qian Zhou, Qian-Kun Yao, Ya-Qi Dong, Dan Li & You-Wen Zhu

  2. State Key Laboratory of Integrated Services Networks (Xidian University), Xi’an, 710071, China

    Yu-Qian Zhou & You-Wen Zhu

  3. Guangxi Key Laboratory of Cryptography and Information Security, Guilin University of Electronic Technology, Guilin, 541004, China

    You-Wen Zhu

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  1. Yu-Qian Zhou
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Correspondence to Yu-Qian Zhou.

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Zhou, YQ., Yao, QK., Dong, YQ. et al. Source-device-independent randomness expansion using quantum random access codes. Quantum Inf Process 22, 214 (2023). https://doi.org/10.1007/s11128-023-03967-6

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