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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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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DOI: https://doi.org/10.1007/s11128-023-03967-6