Abstract

The blind signature is widely used in cryptography applications because it can prevent the signer from gaining the original message. Owing to the unconditional security, the quantum blind signature is more advantageous than the classical one. In this paper, we propose a new provable secure quantum blind signature scheme with the nonorthogonal single-photon BB84-state and provide a new method to encode classical messages into quantum signature states. The message owner injects a randomizing factor into the original message and then strips the blind factor from the quantum blind signature signed by the blind signer. The verifier can validate the quantum signature and announce it publicly. At last, the analytical results show that the proposed scheme satisfies all of the security requirements of the blind signature: blindness, unforgeability, non-repudiation, unlinkability, and traceability. Due to there being no use of quantum entanglement states, the total feasibility and practicability of the scheme are obviously better than the previous ones.

Highlights

  • The security of classical signature cryptography depends on solving some difficult mathematical problems, such as factoring large integers and solving the discrete logarithm

  • One of the known examples of quantum cryptography is the quantum key distribution (QKD) [2,3,4,5], which offers a solution of the shared key exchange with information-theoretical security

  • Quite a few branches of QKD have attracted a great deal of attention, and many effective results have been proposed, including quantum private query (QPQ) [6,7,8], quantum digital signature (QDS) [9,10,11,12,13] and so on

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Summary

Introduction

The security of classical signature cryptography depends on solving some difficult mathematical problems, such as factoring large integers and solving the discrete logarithm. In 2016, Amiri et al [13] proposed a QDS scheme that did not require trusted quantum channels and only relied on secret shared keys generated using QKD. Some quantum blind signature (QBS) schemes [19,20,21,22,23,24,25,26,27,28,29,30,31,32,33] have been presented. In 2015, Shi et al [24] proposed a new QBS scheme with unlinkability based on EPR and quantum teleportation. Based on offline trusted repositories, Ribeiro et al [29] presented a perfectly secure QBS scheme, which used Bell states, unitary operations, and so on, in 2015.

Properties of the Blind Signature
Quantum Fingerprint
Improved QOTP Encryption
BB84-State Encoding
The Proposed Quantum Blind Signature Scheme
Initial Phase
Blinding Phase
Signing phase
Verifying Phase
Correctness
Against External Attack
Unforgeability
Non-Repudiation
Unlinkability
Traceability
Conclusions
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