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Instantiation of quantum point obfuscation

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Abstract

In cryptography, obfuscation is one of the strongest forms of encryption. Point functions have been widely discussed in classical obfuscation so that obfuscation of point functions becomes an important branch of obfuscation theory. For quantum circumstance, a series of positive results in quantum point obfuscation have been proposed and indicate that quantum point obfuscation is secure under the quantum random oracle model. Furthermore, how to realize quantum point obfuscation under the standard model becomes a key question. In this paper, we clarify the definition of instantiation of quantum point obfuscation and instantiate quantum point obfuscation by means of feasible construction of quantum hash functions. Consequently, we choose the quantum point obfuscation scheme with quantum error-correcting code and prove the security of the quantum symmetric encryption scheme. Such results will provide guidance to the application of quantum obfuscation in practice.

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Acknowledgements

This project was supported by the National Natural Science Foundation of China (Nos. 61971021, 61571024), Aeronautical Science Foundation of China (No. 2018ZC51016), and the National Key Research and Development Program of China (No. 2016YFC1000307) for valuable helps. The authors declare no conflict of interest.

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Authors and Affiliations

  1. School of Cyber Science and Technology, Beihang University, Beijing, 100083, China

    Yuanjing Zhang, Tao Shang & Jianwei Liu

  2. School of Electronic and Information Engineering, Beihang University, Beijing, 100083, China

    Ranyiliu Chen

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  1. Yuanjing Zhang
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  2. Tao Shang
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  3. Ranyiliu Chen
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  4. Jianwei Liu
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Correspondence to Tao Shang.

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Zhang, Y., Shang, T., Chen, R. et al. Instantiation of quantum point obfuscation. Quantum Inf Process 21, 29 (2022). https://doi.org/10.1007/s11128-021-03379-4

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