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Jisuanji yingyong yanjiu

Group signature based on quantum entanglement states

Xuejun Cai

Published Jan 1, 2011• 0 citations
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Abstract

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.

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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.
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.
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.
Digital signatures are widely used in electronic communications, for example in electronic commerce and e-mail. But classical digital signature scheme only offer security relying on computational assumptions. In contrast, quantum digital signatures provide security based on fundamental principles of quantum physics. Quantum group signatures provide anonymity for signatory, quantum blind signatures provide confidentiality for signed messages. In this paper we demonstrate a quantum group blind signature scheme which have the properties both of group signatures and blind signatures. Besides, the security of our scheme is guaranteed by the quantum mechanics, so without any computational assumption. the group property and blind property of our scheme profits from the properties of the measurement-based quantum computation (MBQC). Our quantum group blind signature scheme can be widely used in e-voting system, e-cash, e-commerce, etc.
A scheme of using Cluster quantum entangled state to quantum signature is presented.Cluster state of the program is used as a quantum channel,and each group of quantum bit string signed by Alice is distributed to Alice,notaries TA and inspection signer Bob.The way of loading message is that Alice does transformation operation on the first qubit unitary respectively,and the Bell measurement results of quantum bits are the signature of a message.Bob does the Bell measurement on the corresponding two-qubit to verify the signature,but it must be restricted by the notary TA.It is verified that Cluster state entanglement properties of entangled state,security,local operators have better performance.
A quantum message signature scheme based on quantum teleportation is presented. In this scheme, Alice prepares N-pair particles m and m' in the same states which carry the quantum information while Bob generates N-pair particles a and b in EPR states, to each triplet composed of particles ai,bi and mi, Alice performs Bell-state measurement on mi and ai, to get signature, Bob compares the state of m'i and bi can verify the signature. This scheme does not rely on an arbitrator to verify the signature; however it has unconditional security and provides a higher efficiency in transmission.
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.