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Physical Review A

Reply to “Comment on ‘Arbitrated quantum-signature scheme’ ”

Guihua Zeng

Published Jul 28, 2008• 112 citations
Publisher

Abstract

To reply to the Comment on our original paper entitled ``Arbitrated quantum-signature scheme'' [Phys. Rev. A 65, 042312 (2002)], we present more detailed presentations and proofs of the quantum-signature scheme in our paper. We feel our further investigation has shown that the original quantum-signature scheme is secure and operationally well defined. In addition, proofs illustrate that the quantum-signature scheme with unknown quantum states is also suitable in principle.

DOI
10.1103/physreva.78.016301

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Comment on “Arbitrated quantum-signature scheme”

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We investigate the quantum signature scheme proposed by and Zeng and Keitel [Phys. Rev. A 65, 042312 (2002)]. It uses Greenberger-Horne-Zeilinger states and the availability of a trusted arbitrator. However, in our opinion the protocol is not clearly operationally defined and several steps are ambiguous. Moreover, we argue that the security statements claimed by the authors are incorrect.

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Abstract Zeng and Keitel proposed an arbitrated quantum signature scheme In 2002. Recently, Curty and Lütkenhaus pointed out that the protocol is not operationally specified. In a reply, Zeng gave more details of the scheme. The author also claimed that the scheme is suitable for unknown messages. In this letter, we remark that the invented scenario in the original scheme is artificial. This is because its security entirely depends on the presence of a trustworthy arbitrator. Moreover, the claim that the original scheme is suitable for unknown messages is not sound.

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Reply to “Comment on ‘Quantum dense key distribution’ ”

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In this Reply we propose a modified security proof of the quantum dense key distribution protocol, detecting also the eavesdropping attack proposed by W\'ojcik in his Comment [W\'ojcik, Phys. Rev. A 71, 016301 (2005)].

arXiv:quant-ph/0410221•Physical Review A•Jan 28, 2005•12 citations
To reply to the Comment on our original paper entitled ``Arbitrated quantum-signature scheme'' [Phys. Rev. A 65, 042312 (2002)], we present more detailed presentations and proofs of the quantum-signature scheme in our paper. We feel our further investigation has shown that the original quantum-signature scheme is secure and operationally well defined. In addition, proofs illustrate that the quantum-signature scheme with unknown quantum states is also suitable in principle.
Abstract Zeng and Keitel proposed an arbitrated quantum signature scheme In 2002. Recently, Curty and Lütkenhaus pointed out that the protocol is not operationally specified. In a reply, Zeng gave more details of the scheme. The author also claimed that the scheme is suitable for unknown messages. In this letter, we remark that the invented scenario in the original scheme is artificial. This is because its security entirely depends on the presence of a trustworthy arbitrator. Moreover, the claim that the original scheme is suitable for unknown messages is not sound.
Zeng and Keitel proposed an arbitrated quantum signature scheme in 2002. Recently, Curty and Lütkenhaus pointed out that the protocol is not operationally specified. In a reply, Zeng gave more details of the scheme. The author also claimed that the scheme is suitable for unknown messages. In this letter, we remark that the invented scenario in the original scheme is artificial. This is because its security entirely depends on the presence of a trustworthy arbitrator. Moreover, the claim that the original scheme is suitable for unknown messages is not sound.
Recently, many arbitrated quantum signature schemes have been proposed and analyzed [1– 8]. Most of the proposed quantum signature schemes have used the optimal quantum one-time encryptions [9,10] based on Pauli operators to guarantee unconditional security and perform the efficient schemes. However, it has been shown that the schemes are not secure by Choi et al. [11]. They have provided a new method to recover security against the proposed attack. Here, we consider arbitrated quantum signature schemes modified by the new method and analyze the security of the schemes for known and unknown quantum messages against the more general attack.