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Entropy

A Verifiable Arbitrated Quantum Signature Scheme Based on Controlled Quantum Teleportation

Dianjun Lu, Zhihui Li, Jing Yu, Zhaowei Han

Published Jan 11, 2022• 33 citations
Publisher

Abstract

In this paper, we present a verifiable arbitrated quantum signature scheme based on controlled quantum teleportation. The five-qubit entangled state functions as a quantum channel. The proposed scheme uses mutually unbiased bases particles as decoy particles and performs unitary operations on these decoy particles, applying the functional values of symmetric bivariate polynomial. As such, eavesdropping detection and identity authentication can both be executed. The security analysis shows that our scheme can neither be disavowed by the signatory nor denied by the verifier, and it cannot be forged by any malicious attacker.

DOI
10.3390/e24010111

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In this paper, we present a verifiable arbitrated quantum signature scheme based on controlled quantum teleportation. The five-qubit entangled state functions as a quantum channel. The proposed scheme uses mutually unbiased bases particles as decoy particles and performs unitary operations on these decoy particles, applying the functional values of symmetric bivariate polynomial. As such, eavesdropping detection and identity authentication can both be executed. The security analysis shows that our scheme can neither be disavowed by the signatory nor denied by the verifier, and it cannot be forged by any malicious attacker.
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.
Abstract When the original signer is unable to sign and the proxy signer does not know the information content, proxy blind signature comes into being and becomes a hot topic in cryptography research. This paper combines the methods of proxy blind signature, controlled quantum teleportation and multi-party verification, and proposes a multi-party verifiable quantum proxy blind signature scheme based on controlled quantum teleportation. This scheme has the following features: using a Hash function shared by all participants for authentication can effectively solve the problem of identity identification among members; in order to facilitate the original signer to ensure the security of proxy authorization, the quantum proxy signature authorization form is used to generate quantum states with mutual unbiased fundamental particles. The security analysis shows that the scheme is unforgeable and undeniable, and can resist intercept-forgery attack and collusive attack.
Abstract With the progress of science and technology, more and more researchers have begun to pay attention to quantum digital signature schemes. Arbitrated quantum signatures have attracted much attention due to their many advantages. This paper presents a multi-verifiable arbitrated quantum signature scheme with information hiding function. In this scheme, the original information and the shared key are hidden in the Bell state, so that any attacker cannot obtain the original information through quantum measurement. In this scheme, multi-verifiers connect end to end to form a ring, and the feasibility of the scheme can be verified if and only if all verifiers participate. Ring verifiers select one of them as the representative. The representative uses the one-way hash function for authentication and indicates the identity to the arbitrator. Therefore the arbitrator does not need to verify the identities of all the verifiers and improves the authentication efficiency. The security analysis shows that the scheme is undeniability, unforgeability and can resistant to intercept-resend attacks, combined attacks and cheating attacks.
Quantum signature is quantum counterpart of classical digital signature, which has been widely applied to modern communication, such as electronic payment, electronic voting and electronic medical, owing to its great implication in ensuring the authenticity and the integrity of the message and the non-repudiation. Arbitrated quantum signature (AQS) is an important and practical type of quantum signature. The AQS algorithm is a symmetric key cryptography-based quantum signature algorithm, and its implementation requires the trusted arbitrator to be directly involved. In this paper, employing the key-controlled chained CNOT (KCCC) operation as the appropriate encryption (decryption) algorithm, we suggest an AQS scheme based on teleportation of quantum walks with two coins on a four-vertex cycle, which is used to transfer the message copy from the sender to the receiver. In light of the model of teleportation of quantum walks, the sender encodes the message to be signed into her or his coin state, and the necessary entangled states can be created as a result of the conditional shift between the coin state and the position state. The measurements performed on the generated entangled states are the bases of signature production and message recovery. Then according to the classical measurement results from the sender, the receiver performs the appropriate local unitary operations (i.e., Pauli operations) on his own coin state to recover the original message and further verifies the validity of the completed signature by using the appropriate verification algorithms under the aid of the trustworthy arbitrator. The suggested AQS scheme makes the following contributions: 1) the necessary entangled states for quantum teleportation of message copy do not need preparing in advance, and they can be produced automatically by the first step of quantum walks; 2) the scheme satisfies the features of non-repudiation, un-forgeability and non-disavowal due to the use of the KCCC operation; 3) the scheme may be achieved by linear optical elements such as beam splitters, wave plates, etc., because quantum walks have proven to be realizable in different physical systems and experiments. Analysis and discussion show that the proposed AQS scheme possesses the impossibility of disavowals by the signer and the receiver and impossibility of forgeries by anyone. Comparisons reveal that the designed AQS protocol is favorable. Furthermore, it provides an idea by employing the quantum computing model into quantum communication protocols with a possible improvement with respect to its favorable properties, for example, the automatic generation of entangled states via the first step of quantum walks on different models. In the near future, we will further investigate the production of entanglement by quantum walks and its applications with some improvements in designing the quantum communication protocols.
We investigate the existing arbitrated quantum signature schemes as well as their cryptanalysis, including intercept-resend attack and denial-of-service attack. By exploring the loopholes of these schemes, a malicious signatory may successfully disavow signed messages, or the receiver may actively negate the signature from the signatory without being detected. By modifying the existing schemes, we develop counter-measures to these attacks using Bell states. The newly proposed scheme puts forward the security of arbitrated quantum signature. Furthermore, several valuable topics are also presented for further research of the quantum signature scheme.