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Physica Scripta

A secure quantum group signature scheme based on Bell states

Kejia Zhang, Tingting Song, Hui-Juan Zuo, Weiwei Zhang

Published Mar 18, 2013• 32 citations
Publisher

Abstract

In this paper, we propose a new secure quantum group signature with Bell states, which may have applications in e-payment system, e-government, e-business, etc. Compared with the recent quantum group signature protocols, our scheme is focused on the most general situation in practice, i.e. only the arbitrator is trusted and no intermediate information needs to be stored in the signing phase to ensure the security. Furthermore, our scheme has achieved all the characteristics of group signature—anonymity, verifiability, traceability, unforgetability and undeniability, by using some current developed quantum and classical technologies. Finally, a feasible security analysis model for quantum group signature is presented.

DOI
10.1088/0031-8949/87/04/045012

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In this paper, we propose a new secure quantum group signature with Bell states, which may have applications in e-payment system, e-government, e-business, etc. Compared with the recent quantum group signature protocols, our scheme is focused on the most general situation in practice, i.e. only the arbitrator is trusted and no intermediate information needs to be stored in the signing phase to ensure the security. Furthermore, our scheme has achieved all the characteristics of group signature—anonymity, verifiability, traceability, unforgetability and undeniability, by using some current developed quantum and classical technologies. Finally, a feasible security analysis model for quantum group signature is presented.
In this paper, we present a group signature scheme using quantum teleportation. Different from classical group signature and current quantum signature schemes, which could only deliver either group signature or unconditional security, our scheme guarantees both by adopting quantum key preparation, quantum encryption algorithm and quantum teleportation. Security analysis proved that our scheme has the characteristics of group signature, non-counterfeit, non-disavowal, blindness and traceability. Our quantum group signature scheme has a foreseeable application in the e-payment system, e-government, e-business, etc.
In this paper, we propose a multi-group e-commerce signature scheme based on quantum teleportation and Bell states. Compared with the recent quantum group signature scheme, what our scheme has optimised is the traditional signature model with only one group manager and the utilisation of quantum resources. By setting up different group managers in different groups, the scheme promotes the traditional signature model into a more practical situation and can be easily used in e-payment system. In addition, the quantum teleportation and Pauli operations based on the Bell states are used in the transaction process, and these techniques can also be easily implemented under practical situations. Finally, the security analysis shows that the scheme can defend against different attacks from internal and external sources, including intercepting resend attacks and entanglement attacks. It also proves that the scheme is reliable, safe and effective facing with denial and forgery.
In this paper, we present a quantum group signature (QGS) scheme based on orthogonal product states (OPSs) that cannot be perfectly distinguished by local operations and classical communication. Our scheme has all the properties of QGS, including unforgeability, undeniability, traceability, verifiability and anonymity. These properties can guarantee the security of the scheme. More importantly, different particles of a product state that comes from a nonlocal set are transmitted separately, thus the information that is encoded in the product state will not be leaked. Security and efficiency analysis of the scheme show that our scheme is secure and efficient.
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.
In this paper, a new E-payment system based on quantum blind and group signature is proposed. Existing E-payment systems based on classical cryptography cannot guarantee the security with the emergency of quantum computers. Compared to the existing E-payment system, our quantum E-payment scheme could protect not only the user's anonymity but also the inner structure of customer group. In addition, our system adopts quantum key distribution, one-time pad, and audit mechanism to ensure unconditional security.
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.