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arXiv:quant-ph/0509129

Quantum Signature Protocol without the Trusted Third Party

Xiao-jun, Wen, Yun Liu

Published Sep 20, 2005• 4 citations
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Abstract

An authentic digital signature scheme based on the correlation of Greenberger-Horne-Zeilinger (GHZ) states was presented. In this scheme, by performing a local unitary operation on the third particles of each GHZ triplet, Alice can encode message M and get its signature S. Bob performs CNOT operation on the combined GHZ triplets can recovery the message M and directly authenticates Alice's signature S. Our scheme was designed to use quantum secret key to guaranteed unconditional security, as well as use quantum fingerprinting to avoid trick attacks and reduce communication complexity.

DOI
10.48550/arxiv.quant-ph/0509129

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An authentic digital signature scheme based on the correlation of Greenberger-Horne-Zeilinger (GHZ) states was presented. In this scheme, by performing a local unitary operation on the third particles of each GHZ triplet, Alice can encode message M and get its signature S. Bob performs CNOT operation on the combined GHZ triplets can recovery the message M and directly authenticates Alice's signature S. Our scheme was designed to use quantum secret key to guaranteed unconditional security, as well as use quantum fingerprinting to avoid trick attacks and reduce communication complexity.
Quantum signature combines quantum theory with classical digital signature. The main goal of this field is to take advantage of quantum effects to provide unconditionally secure signature. We present a quantum signature scheme with message recovery without using entangle effect. The most important property of the present scheme is that it is not necessary for the scheme to use Greenberger-Horne-Zeilinger states. The security of the scheme relies on the quantum one-time pad and quantum key distribution. The efficiency analysis shows that the proposed scheme is an efficient scheme
We propose two quantum direct communication (QDC) protocols with user authentication. Users can identify each other by checking the correlation of Greenberger-Horne-Zeilinger (GHZ) states. Alice can directly send a secret message to Bob without any previously shared secret using the remaining GHZ states after authentication. Our second QDC protocol can be used even though there is no quantum link between Alice and Bob. The security of the transmitted message is guaranteed by properties of entanglement of GHZ states.
A strong blind quantum signature protocol was presented based on secret sharing.In this protocol,the three pho-tons of each GHZ(Greenberger-Horne-Zeilinger)triplet are delivered to the message owner Alice,signatory Trent and verifier Bob respectively.Alice measures her photon to blind her message while Trent measures his photon to sign the blinded message,and then Bob verifies the signature according to the measuring results of his photon under the relationship of GHZ states.However,Bob's ac-tions are restricted by the quantum fingerprints and the audit program.Our protocol ensures that the signature is blind and the mes-sage owner is untraceable.Moreover,its security was not influenced by the computational resource of attackers.
On Internet, the sender and receiver can not own the secure communication channel. Eavesdropping can attack the insecure channel to break the process of the signature scheme. Under an unsafe routing path, several attacks from Eve will be happened. In quantum cryptography, these physics properties such as no-cloning theorem, uncertainty principle and quantum teleportation can provide unconditionally secure communication in the quantum channel. The security of quantum signature schemes is unconditional security. In this paper, a concept, quantum secret sharing which can be used to reconstruct a special relation among sharing party, is proposed. Based on the property of quantum secret sharing, the proposed mechanism uses multiple pairs of four-particle Greenberger-Horne-Zielinger (GHZ) state to reconstruct a special relation among sharing party. By using this relation, we can support the security of quantum signature under an unsafe routing path to provide the message recovery. From the view of a reusing key, the proposed mechanism is key efficiency.
Quantum digital signature combines quantum theory with classical digital signature. The main goal of this field is to take advantage of quantum effects to provide unconditionally secure signature. We present a quantum signature scheme with message recovery without using entangle effect. The most important property of the proposed scheme is that it is not necessary for the scheme to use Greenberger-Horne-Zeilinger states. The present scheme utilizes single photons to achieve the aim of signature and verification. The security of the scheme relies on the quantum one-time pad and quantum key distribution. The efficiency analysis shows that the proposed scheme is an efficient scheme.