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Acta Physica Sinica

Arbitrated quantum signature scheme based on entanglement swapping

Wei Li, Fan Ming-Yu, Guangwei Wang

Published Jan 1, 2011• 1 citation
Publisher

Abstract

An arbitrated quantum signature scheme based on entanglement swapping is proposed in this paper. On the foundation of Bell states, the message to be signed is coded with a unitary sequence, and consequently the unitary sequence is used to calibrate the Bell states between the signer and the arbitrator, finally the signature is generated through quantum cryptography. Using the correlation states generated through entanglement swapping on the arbitrators side, the receiver can verify the signature through Bell measurement on his own side. In this scheme, anyone except the authentic signer cannot forge a legal signature and the true receiver cannot deny his recipient because the security of underling quantum cryptography and the participantsprivacy are effectively protected in this scheme.

DOI
10.7498/aps.60.080302

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An arbitrated quantum signature scheme based on entanglement swapping is proposed in this paper. On the foundation of Bell states, the message to be signed is coded with a unitary sequence, and consequently the unitary sequence is used to calibrate the Bell states between the signer and the arbitrator, finally the signature is generated through quantum cryptography. Using the correlation states generated through entanglement swapping on the arbitrators side, the receiver can verify the signature through Bell measurement on his own side. In this scheme, anyone except the authentic signer cannot forge a legal signature and the true receiver cannot deny his recipient because the security of underling quantum cryptography and the participantsprivacy are effectively protected in this scheme.
In this paper an arbitrated quantum signature scheme based on entanglement swapping is proposed. In this scheme a message to be signed is coded with unitary operators. Combining quantum measurement with quantum encryption, the signer can generate the signature for a given message. Combining the entangled states generated by the TTP's Bell measurement with the signature information, the verifier can verify the authentication of a signature through a single quantum state measurement. Compared with previous schemes, our scheme is more efficient and less complex, furthermore, our scheme can ensure the anonymity of the signer.
Arbitrated quantum signature (AQS) schemes use quantum cryptography to ensure their security, and the schemes provide that the signature receiver verifies the signature with the arbitrator's assistance.Very recently, Gao and Choi found in some previous AQS schemes, the receiver, Bob can counterfeit the signer's signature under known message.Additionally, the paper gives the security analysis of the AQS scheme, and results show that not only the receiver, but also the attacker can forge the signature in the AQS scheme.Furthermore, the signer can successfully disavow any message she ever signed.To conquer these shortcomings, this paper gives a new AQS scheme without quantum entangled state; it uses special quantum logic gate and new quantum one-time pads to ensure its security.Compares with other previous AQS schemes, the new scheme has following advantages: (1) the new scheme guarantees the receiver and the attacker cannot forge the signature; (2) Because the new scheme does not use quantum entangled states, so it can reduce the complexity of implementation and provides a higher efficiency in transmission; (3) The receiver, Bob has verified the signature's integrity, so Alice cannot disavow her having signed message.
Proxy signature is a special signature which provided the signer can delegate his signing capability to others.The proxy signature provides that the original signer can delegate his signing permission to a proxy signer, and the proxy signer can replace the original signer to sign the message.In this paper, we propose a proxy signature scheme based on ideas from classical proxy signature schemes and quantum cryptography.The scheme is implemented by Bell states and a symmetrical quantum key cryptosystem.Compile with classical proxy signature schemes, the new scheme can guarantee the security by using quantum key distribution and one-time pads.And it also can prove that the scheme have the characteristics of non-counterfeit, non-disavowal and traceability.Furthermore, the new scheme uses a special quantum encryption to ensure the receiver cannot forge the signature.The validity of the new scheme can be verified, and it is a secure proxy signature scheme.
In the most arbitrated quantum signatures (AQSs), the signers and verifiers need to perform the quantum key distribution protocols or some other protocols to share secret keys before signing a signature. In some schemes, the entangle states, which are not easily implemented, have to be prepared and distributed among the partners. Based on single photon and one-way functions, a new AQS scheme without entangled states is proposed. In our scheme, the signer generates a quantum signature on the classical message with his/her private key and the one-way function. The arbitrator communicates with the signer through a classical unencrypted channel. The signer and verifier need not perform the key distribution protocol before signing a message. On the other hand, without entangled states, our scheme can reduce the complexity of implementation. Then, our scheme is more efficient than the similar schemes. At the same time, our scheme is secure against forgery attack and disavowal attack.
In an arbitrated quantum signature scheme, the signatory signs the message and the receiver verifies the signature's validity with the assistance of the arbitrator. We present an arbitrated quantum signature scheme using two-particle entangled Bell states similar to the previous scheme using three-particle entangled Greenberger-Horne-Zeilinger states [G. H. Zeng and C. H. Keitel, Phys. Rev. A 65, 042312 (2002)]. The proposed scheme can preserve the merits in the original scheme while providing a higher efficiency in transmission and reducing the complexity of implementation.
Quantum signature protocols often rely on quantum states to carry signature information directly. However, they need SWAP tests, which require numerous copies to ensure accuracy and security, resulting in high implementation costs. This study proposes an arbitrated quantum signature protocol that incorporates classical information with entanglement swapping. Quantum states are converted into classical information immediately after measurement. The protocol does not rely on SWAP tests, avoids long-term storage of quantum signatures, and employs exclusive-OR operations and hash functions to process signature data. By leveraging a third-party arbitrator, it enables reliable identity verification of the signer and verifier, thereby guaranteeing unforgeability and nonrepudiation.