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International Journal of Quantum Information

AN ARBITRATED QUANTUM SIGNATURE SCHEME BASED ON HYPERCHAOTIC QUANTUM CRYPTOSYSTEM

Ying Guo, Xin Sun, Wei Zhang

Published Jun 1, 2013• 4 citations
Publisher

Abstract

A chaos-based arbitrated quantum signature (AQS) scheme is designed on the basis of an improved quantum chaotic encryption algorithm whose security is ensured due to the implementation of the quantum one-time pad that embraces the key-dependent chaotic operation string. It involves in a small-scale quantum computation network with three participants in three phases, i.e. initializing phase, signing phase and verifying phase. The signatory signs the encrypted message and then the receiver verifies the signature is valid with the aid of an arbitrator who plays a crucial role when a dispute arises. Analysis shows that the signature can neither be forged nor disavowed by the malicious attackers.

DOI
10.1142/s0219749913500366

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A chaos-based arbitrated quantum signature (AQS) scheme is designed on the basis of an improved quantum chaotic encryption algorithm whose security is ensured due to the implementation of the quantum one-time pad that embraces the key-dependent chaotic operation string. It involves in a small-scale quantum computation network with three participants in three phases, i.e. initializing phase, signing phase and verifying phase. The signatory signs the encrypted message and then the receiver verifies the signature is valid with the aid of an arbitrator who plays a crucial role when a dispute arises. Analysis shows that the signature can neither be forged nor disavowed by the malicious attackers.
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.
A digital signature is a mathematical scheme for demonstrating the authenticity of a digital message or document. For signing quantum messages, some arbitrated quantum signature (AQS) schemes have been proposed. It was claimed that these AQS schemes could guarantee unconditional security. However, we show that they can be repudiated by the receiver Bob. To conquer this shortcoming, we construct an AQS scheme using a public board. The AQS scheme not only avoids being disavowed by the receiver but also preserves all merits in the existing schemes. Furthermore, we discover that entanglement is not necessary while all these existing AQS schemes depend on entanglement. Therefore, we present another AQS scheme without utilizing entangled states in the signing phase and the verifying phase. This scheme has three advantages: it does not utilize entangled states and it preserves all merits in the existing schemes; the signature can avoid being disavowed by the receiver; and it provides a higher efficiency in transmission and reduces the complexity of implementation.
Arbitrated quantum signature (AQS) schemes aim at ensuring the authenticity of a message with the help of an arbitrator. Moreover, they aim at preventing repudiation, both from a sender that denies the origin of a message, and from a receiver who disavows its reception. Such protocols use quantum communication and are often designed to protect quantum messages. In this paper, we study four recently submitted AQS schemes and propose attacks on their security. Firstly, we look at Zhang, Sun, Zhang and Jia's AQS scheme which aims at signing quantum messages with chained CNOT encryption. We show that the sender can repudiate her messages and make false allegation of reception. Moreover, we show that a dishonest receiver can forge signatures. Secondly, we analyse Ding, Xin, Yang and Sang's AQS protocol to sign classical messages based on GHZ states. We show that both the sender and the receiver have simple repudiation strategies. Thirdly, we study Lu, Li, Yu and Han's AQS scheme that uses controlled teleportation to protect quantum messages. We expose forgeries, false allegation attacks and the possibility of repudiation by both parties. Fourthly, we focus on the AQS scheme by Zhang, Xin, Sun, Li and Li designed to sign classical messages without entangled states. We show that one can disavow the reception of messages, and that information-theoretic security is not achieved for other security goals.
Arbitrated quantum signatures (AQS), for signing quantum message, have been proposed. It was claimed that the AQS schemes could guarantee unconditional security. However, in this paper, we show that all the presented AQS protocols are insecure if quantum one-time pad encryption is used where the signer Alice can always successfully acquire Bob's secret key and disavow any of her signatures. The detailed attack strategies and security analysis are described. Furthermore, the original version of the protocols is revised and accordingly the security of the AQS protocols are improved. And meanwhile we present a method to against Alice's disavowal proposed by Gao et al. (arXiv:1106.4398v1).
Arbitrated signature provides that the signatory signs a message with his private key by quantum cryptography, while the signature receiver verifies the signature with the arbitrator’s assistance. In this work, security analysis was given to the arbitrated quantum signature (AQS) and results showed that the receiver Bob and the attacker can forge the signature. Then this paper gives a new quantum one-time pads encryption method, which is suit for the quantum signature. At last, a new AQS protocol using Einstein-Podoisky-Rosen (EPR) pairs is proposed. By using of  quantum key distribution (QKD) and new quantum one-time pads, the new scheme can resist Shor’s attack. The new scheme has following advantages: (1) The scheme reduces the complexity of implementation and provides a higher efficiency in transmission; (2) Compares with some AQS schemes, the scheme can avoid being disavowed by the receiver; (3) Compares with other AQS schemes, the scheme also guarantees the arbitrator cannot forge the signature and it also ensure the receiver and other attacker cannot forge the signature.