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Universal quantum encryption for quantum signature using the swap test

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Abstract

We suggest a universal quantum encryption scheme suitable for use in quantum signature. The verifier in a variety of quantum signature protocols usually checks for the falsification of the quantum signature state pair by using a swap test. However, these quantum signature protocols are not secure against existential forgery attacks; We prove that the universal quantum encryption scheme proposed in this paper is secure against this type of forgery because it uses the non-(anti)commutativity of an arbitrary unitary operator. In addition, we demonstrate its use in a quantum signature. Moreover, the optimization of this encryption in comparison with other encryption schemes is presented.

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Acknowledgements

This work was supported by the ICT R&D programs of MSIP/IITP (Grant No. B0101-16-1355), the KIST research program (Grant No. 2E27801). M.S. Kang is supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1A6A3A01001894).

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Correspondence to Sang-Wook Han.

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Kang, MS., Choi, HW., Pramanik, T. et al. Universal quantum encryption for quantum signature using the swap test. Quantum Inf Process 17, 254 (2018). https://doi.org/10.1007/s11128-018-2029-0

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  • DOI: https://doi.org/10.1007/s11128-018-2029-0

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