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Expanding the sharpness parameter area based on sequential \(3{\rightarrow }1\) parity-oblivious quantum random access code

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Abstract

Based on the unsharp measurement technology, double classical correlation witness violation can be realized using suitable sharpness parameters. In this paper, we study the sequential \(3{\rightarrow }1\) parity-oblivious quantum random access code using different sharpness parameters for different measurement settings. By constructing a suitable measurement strategy, a protocol that can realize double classical correlation witness violation with a much wider range of sharpness parameter is proposed. We find that double classical correlation witness violation can be achieved even when the first decoder performs the unsharp measurements with near-maximum strength. Our result sheds new light on the interplay between quantum correlation and unsharp measurement. Then, we apply our measurement strategy to sequential semi-device-independent randomness certification and discuss the generated randomness of sequential decoders under different sharpness parameters based on the correlation witness.

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Data availability

The datasets generated during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 62171056, 61973021) and Henan Key Laboratory of Network Cryptography Technology (LNCT2022-A03).

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Authors and Affiliations

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Yao Xiao & Fenzhuo Guo

  2. Henan Key Laboratory of Network Cryptography Technology, Zhengzhou, 450001, China

    Yao Xiao & Fenzhuo Guo

  3. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Yao Xiao, Fenzhuo Guo & Fei Gao

  4. School of Instrumentation Science and Opto-electronics Engineering, Beihang University, Beijing, 100191, China

    Haifeng Dong

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  1. Yao Xiao
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  2. Fenzhuo Guo
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Correspondence to Fenzhuo Guo.

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Xiao, Y., Guo, F., Dong, H. et al. Expanding the sharpness parameter area based on sequential \(3{\rightarrow }1\) parity-oblivious quantum random access code. Quantum Inf Process 22, 195 (2023). https://doi.org/10.1007/s11128-023-03924-3

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