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Masking property of quantum random cipher with phase mask encryption

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Abstract

The security analysis of physical encryption protocol based on coherent pulse position modulation (CPPM) originated by Yuen is one of the most interesting topics in the study of cryptosystem with a security level beyond the Shannon limit. Although the implementation of CPPM scheme has certain difficulty, several methods have been proposed recently. This paper deals with the CPPM encryption in terms of symplectic transformation, which includes a phase mask encryption as a special example, and formulates a unified security analysis for such encryption schemes. Specifically, we give a lower bound of Eve’s symbol error probability using reliability function theory to ensure that our proposed system exceeds the Shannon limit. Then we assume the secret key is given to Eve after her heterodyne measurement. Since this assumption means that Eve has a great advantage in the sense of the conventional cryptography, the lower bound of her error indeed ensures the security level beyond the Shannon limit. In addition, we show some numerical examples of the security performance.

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Acknowledgments

The authors would like to thank F. Futami for his valuable discussions. This work was supported by JSPS KAKENHI Grant Number 24656245.

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Authors and Affiliations

  1. Quantum Information Science Research Center, Quantum ICT Research Institute, Tamagawa University, 6-1-1 Tamagawa-gakuen, Machida, Tokyo , 194-8610, Japan

    Masaki Sohma & Osamu Hirota

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  1. Masaki Sohma
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  2. Osamu Hirota
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Correspondence to Masaki Sohma.

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Sohma, M., Hirota, O. Masking property of quantum random cipher with phase mask encryption. Quantum Inf Process 13, 2221–2239 (2014). https://doi.org/10.1007/s11128-014-0748-4

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  • DOI: https://doi.org/10.1007/s11128-014-0748-4

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