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International Journal of Quantum Information

DISCUSSION ON QUANTUM PROXY GROUP SIGNATURE SCHEME WITH χ-TYPE ENTANGLED STATE

Hui-Juan Zuo, Su‐Juan Qin, Tingting Song

Published Apr 1, 2013• 1 citation
Publisher

Abstract

Recently, Yin et al. (Int. J. Quantum Inform. 10 (2012) 1250041) proposed a quantum proxy group signature scheme with χ-type entangled states. The scheme combines the properties of group signature and proxy signature. The study points out that the semi-honest Trent can give the forged signature under the assumption of this scheme. And, we find that even if the three parties honestly perform the scheme, the signature still cannot be realized with high efficiency.

DOI
10.1142/s0219749913500305

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Recently, Yin et al. (Int. J. Quantum Inform. 10 (2012) 1250041) proposed a quantum proxy group signature scheme with χ-type entangled states. The scheme combines the properties of group signature and proxy signature. The study points out that the semi-honest Trent can give the forged signature under the assumption of this scheme. And, we find that even if the three parties honestly perform the scheme, the signature still cannot be realized with high efficiency.
A quantum proxy group signature scheme is proposed with χ-type entangled states. Our scheme combines the properties of group signature and proxy signature. Moreover, the particles in the χ-type state sequence are used to distribute proxy warrants and quantum keys in the initial phase, and then used for quantum signature. Therefore it increases the utilization rate of quantum resources compared with the general quantum signature scheme. Finally, the unconditional security of our scheme is also analyzed.
In this paper, we propose a novel semiquantum proxy blind signature scheme using quantum teleportation based on χ states, where the original message owner, proxy signer, and third party are quantum participants with complete quantum capabilities, while the original signer and signature verifier are semiquantum participants with limited quantum capabilities. Our protocol not only has complete blindness, unforgeability, and nonrepudiation, but it also resists the attack behavior of an eavesdropper. Because of the limited quantum capabilities of the original signer and signature verifier, our protocol does not require them to prepare and measure the quantum superposition and quantum entangled states when used in practical applications. Hence, our protocol can reduce the burden of quantum state preparation and measurement for the original signer and signature verifier.
In this study, quantum proxy group signature protocol based on the Quantum Fourier Transformation(QF T) is suggested. In this protocol, QF T is used to share signature with group members. So all proxy group members know only their part of the signature information which are encrypted output of the QF T. This improves the security of the protocol. In addition, the security of the quantum proxy group signature is provided by using reorder QF T output qubits with permutation of the Trent,blinded and nonblinded . The security analysis expresses higher efficiency, effective secret key usage and security of the proposed protocol.
With the development of science and technology and the appearance of various special conditions that cause signers to be unable to sign, proxy signature is gradually becoming a hot spot in cryptography research. This paper combines proxy signature, quantum teleportation, and multi-party verification and proposes a multi-party verifiable quantum proxy signature scheme based on quantum teleportation. This scheme has the following characteristics: The authentication method based on the Hash function can effectively solve the problem of identity identification among members; in order for the proxy signer to be able to verify the correctness of the proxy authorization, a form of proxy signature authorization that concatenates the identity information of the original signer is used. The security analysis shows that our scheme is unforgeable and undeniable and can resist intercept-resend attacks and cheating attacks.
In this study, we propose the semiquantum group proxy blind signature scheme, in which the signature verifier and some proxy signers only possess limited quantum capabilities. On the basis that the original message content of the original message owner is blind to the original signer, the signature verifier, the proxy signature group and the trusted third party helping complete the signing process, this scheme can accomplish the goal of the original singer authorizing the proxy signature group to sign this original message. This scheme is proved to have unforgeability, non-repudiation, complete blindness and security. Since the signature verifier and some proxy signers only possess limited quantum capabilities, compared with many existing quantum group proxy blind signature protocols, this scheme has a wider range of signature application scenarios.