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Entropy 2018, 20(4), 291; https://doi.org/10.3390/e20040291

Measurement-Device Independency Analysis of Continuous-Variable Quantum Digital Signature

1,2,*, 2 and 1,2
1
School of Cyber Science and Technology, Beihang University, Beijing 100083, China
2
School of Electronic and Information Engineering, Beihang University, Beijing 100083, China
*
Author to whom correspondence should be addressed.
Received: 22 March 2018 / Revised: 15 April 2018 / Accepted: 16 April 2018 / Published: 17 April 2018
(This article belongs to the Collection Quantum Information)
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Abstract

With the practical implementation of continuous-variable quantum cryptographic protocols, security problems resulting from measurement-device loopholes are being given increasing attention. At present, research on measurement-device independency analysis is limited in quantum key distribution protocols, while there exist different security problems for different protocols. Considering the importance of quantum digital signature in quantum cryptography, in this paper, we attempt to analyze the measurement-device independency of continuous-variable quantum digital signature, especially continuous-variable quantum homomorphic signature. Firstly, we calculate the upper bound of the error rate of a protocol. If it is negligible on condition that all measurement devices are untrusted, the protocol is deemed to be measurement-device-independent. Then, we simplify the calculation by using the characteristics of continuous variables and prove the measurement-device independency of the protocol according to the calculation result. In addition, the proposed analysis method can be extended to other quantum cryptographic protocols besides continuous-variable quantum homomorphic signature. View Full-Text
Keywords: measurement-device independency; quantum cryptographic protocols; quantum homomorphic signature; continuous variables measurement-device independency; quantum cryptographic protocols; quantum homomorphic signature; continuous variables
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Shang, T.; Li, K.; Liu, J. Measurement-Device Independency Analysis of Continuous-Variable Quantum Digital Signature. Entropy 2018, 20, 291.

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