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International Journal of Quantum Information

Quantum group signature scheme based on controlled quantum teleportation

F. L. Chen, Zhaowei Han

Published Nov 4, 2016• 8 citations
Publisher

Abstract

Group signature scheme is a method of allowing a member of a group to sign a message anonymously on behalf of the group. The group administrator is in charge of adding group members and has the ability to reveal the original signer in the event of disputes. Based on controlled quantum teleportation with three-particle entangled W states, we propose a new quantum group signature scheme with designated receiver. Security analysis proves that the proposed scheme possesses the characteristics of group signature and resists the usual attacks. Compared with previous proposed schemes, this scheme follows security definition of group signature fully and meets its basic requirements.

DOI
10.1142/s0219749916500416

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Group signature scheme is a method of allowing a member of a group to sign a message anonymously on behalf of the group. The group administrator is in charge of adding group members and has the ability to reveal the original signer in the event of disputes. Based on controlled quantum teleportation with three-particle entangled W states, we propose a new quantum group signature scheme with designated receiver. Security analysis proves that the proposed scheme possesses the characteristics of group signature and resists the usual attacks. Compared with previous proposed schemes, this scheme follows security definition of group signature fully and meets its basic requirements.
This paper proposed a quantum group signature based on printer management model.Using quantum entanglement,the member of printer group Alice may sign the message on behalf of her group,and the printer manager Bob can confirm that the signature from the group,however he can not sure which member did it.If there is dispute,the group manager Trent will trace the illegal printing.Compared with existing classical signature schemes and quantum signature schemes,the quantum group signature has not only the group property,but also the unconditional security,which can be widely used in electronic voting and e-commerce.
The quantum group signature is a variant of the arbitrated quantum signature with special properties. Most existing teleportation-based quantum group signature schemes do not possess threshold properties, and extending them to quantum threshold group signatures is difficult. Therefore, to realize the extension from ordinary quantum signature to quantum (t, n) threshold group signature and solve the problem of low efficiency of quantum signature based on joint Bell state measurement, this paper proposes a quantum (t, n) threshold group signature scheme based on generalized teleportation implemented by multi-coin quantum walk. In the proposed scheme, n signers form a group, and only t signers can generate a valid signature on behalf of the group using the quantum walking system. In addition, a verifier checks the validity of the signature through the quantum one-time pad and quantum comparison algorithm using a trusted arbiter. The security analysis shows that the proposed scheme meets the requirements of unforgeability, nonrepudiation, threshold security, signer identity traceability, and signer anonymity. In terms of efficiency, the proposed scheme uses teleportation based on multi-coin quantum walk to transmit the quantum message without the need to prepare entangled quantum states in advance. It then replaces the joint Bell measurement of quantum teleportation with a more efficient projection measurement. Moreover, the proposed scheme uses random numbers and public boards, which can avoid the repudiation of signatures and guarantee their integrity.
Abstract When the original signer is unable to sign and the proxy signer does not know the information content, proxy blind signature comes into being and becomes a hot topic in cryptography research. This paper combines the methods of proxy blind signature, controlled quantum teleportation and multi-party verification, and proposes a multi-party verifiable quantum proxy blind signature scheme based on controlled quantum teleportation. This scheme has the following features: using a Hash function shared by all participants for authentication can effectively solve the problem of identity identification among members; in order to facilitate the original signer to ensure the security of proxy authorization, the quantum proxy signature authorization form is used to generate quantum states with mutual unbiased fundamental particles. The security analysis shows that the scheme is unforgeable and undeniable, and can resist intercept-forgery attack and collusive attack.
In this paper, a group signature scheme based on quantum walk for quantum messages is proposed. Our scheme uses long step quantum walk-based teleportation and modified quantum one-time pad to authenticate the quantum messages respectively. In our scheme, the signer in a group signs the quantum messages by quantum walk-based teleportation and modified quantum one-time pad. The verifier can verify the signature via quantum walk-based teleportation while the group manager verifies the signature and identifies the signer via modified quantum one-time pad. The security analysis shows that the scheme can reach the properties of group signature. Compared to the teleportation via EPR pairs or Bell-like states, quantum walks are more flexible and use less measurement resources. Quantum teleportation via long-step quantum walk is more secure than that via one-step quantum walk in previous related works. The scheme can apply to arbitrary finite dimensional quantum systems and can also be possible to realize in practice.
With the development of quantum computers, traditional communication security based on classical computers can no longer guarantee unconditional security. At the same time, a series of encrypted communication solutions that rely on quantum mechanical properties have been spawned. This article focuses on the field of quantum signatures, based on the entangled Greenberger–Horne–Zeilinger state, combining group signatures (any member of the group can sign on behalf of the group) and blind signatures (the signer cannot know the accuracy of the signature content) proposed a new quantum group blind signature scheme that utilizes quantum key distribution to achieve unconditional security. By splitting the original message, the scheme strengthens the relevance of the signature participants and makes the signature to have stronger binding. Then, the security of the scheme against internal and external attacks is analyzed. In this scheme, a pleasing efficiency has been achieved, and the non-repudiation of signatures has been enhanced. At the same time, disputed signatures can be traced back to the signer.
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.