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.

Highlights

  • Since Bennett and Brassard [1] proposed the quantum key distribution (QKD) protocol in 1984, quantum cryptography has attracted extensive attention

  • Choi et al [16] found that most arbitrated quantum signature (AQS) protocols can be cracked through a specific existential forgery attack due to the careless taking advantage of the optimal quantum one-time pad based on Pauli operators

  • We introduce controlled quantum teleportation, which is used in constructing the arbitrated quantum signature scheme

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Summary

Introduction

Since Bennett and Brassard [1] proposed the quantum key distribution (QKD) protocol in 1984, quantum cryptography has attracted extensive attention. Choi et al [16] found that most AQS protocols can be cracked through a specific existential forgery attack due to the careless taking advantage of the optimal quantum one-time pad based on Pauli operators To overcome this weakness, they proposed a simple method to ensure the security of the signature. In 2017, in order to resist forgery attacks and disavowal attacks, Zhang et al [22] proposed a new quantum encryption based on the key-controlled chained CNOT operations (KCCC encryption), and through KCCC encryption, constructed an improved arbitrated quantum signature protocol. The scheme only needs von Neumann measurement, Bell measurement, and a unitary operation to recover the single-particle qubit state It replicates message from the signatory Alice to the verifier Bob, which is an attractive advantage for realizing an actual quantum communication network.

Preliminaries
Some Notions Concerning the Arbitrated Quantum Signature
Mutually Unbiased Bases
Controlled Quantum Teleportation
Initializing Phase
Signing Phase
Verification Phase
Verifiability Analysis
Safety Analysis
Impossibility of Forgery
Impossibility of Disavowal by the Signatory and the Verifier
Impossibility of Disavowal by the Signatory Alice
Impossibility of Disavowal by the Verifier Bob
Findings
Conclusions
Full Text
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