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IEEE Access

Sequential Quantum Multiparty Signature Based on Quantum Fourier Transform and Chaotic System

Xiaoping Lou, Yu Wang, Hu Long, Yu‐Guang Yang, Jian Li

Published Jan 1, 2020• 7 citations
Publisher

Abstract

Motivated by the quantum Fourier transform (QFT), a sequential quantum multiparty signature (QMS) scheme is proposed. Several signatories jointly accomplish the task in a chaotic encryption system. Alice generates and sends the encrypted message with the quantum Fourier transform. Signatories provide individual signatures in a certain order, while Bob verifies the authenticity of the combined multiple signatures after the eavesdropping check phase with help of the arbitrator. Analysis shows the correctness and security of the proposed scheme. This QMS protocol increases the efficiency of verification compared to arbitrated quantum signatures and broadcasting multiparty signature. This QMS protocol will be widely used for online e-government and e-business systems.

DOI
10.1109/access.2020.2966255

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Motivated by the quantum Fourier transform (QFT), a sequential quantum multiparty signature (QMS) scheme is proposed. Several signatories jointly accomplish the task in a chaotic encryption system. Alice generates and sends the encrypted message with the quantum Fourier transform. Signatories provide individual signatures in a certain order, while Bob verifies the authenticity of the combined multiple signatures after the eavesdropping check phase with help of the arbitrator. Analysis shows the correctness and security of the proposed scheme. This QMS protocol increases the efficiency of verification compared to arbitrated quantum signatures and broadcasting multiparty signature. This QMS protocol will be widely used for online e-government and e-business systems.
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A novel (n, n) scheme of multiparty quantum group signature of classical or quantum message is proposed based on the discrete quantum Fourier transform. The generation and verification of the signature can be processed only if all the n participants work in concert. Moreover, a new verification manner, in which the message owner and the signing group separately verify the signature on both side by using the entangled state of EPR sequence, is involved in this paper. Security analysis shows that it is feasible to achieve a secure quantum group signature with the secure quantum computation.
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.
A quantum message signature scheme based on quantum teleportation is presented. In this scheme, Alice prepares N-pair particles m and m' in the same states which carry the quantum information while Bob generates N-pair particles a and b in EPR states, to each triplet composed of particles ai,bi and mi, Alice performs Bell-state measurement on mi and ai, to get signature, Bob compares the state of m'i and bi can verify the signature. This scheme does not rely on an arbitrator to verify the signature; however it has unconditional security and provides a higher efficiency in transmission.
A (n, n)-threshold scheme of multiparty quantum secret sharing of classical or quantum message is proposed based on the discrete quantum Fourier transform. In our proposed scheme, the secret message, which is encoded by using the forward quantum Fourier transform and decoded by using the reverse, is split and shared in such a way that it can be reconstructed among them only if all the participants work in concert. Furthermore, we also discuss how this protocol must be carefully designed for correcting errors and checking eavesdropping or a dishonest participant. Security analysis shows that our scheme is secure. Also, this scheme has an advantage that it is completely compatible with quantum computation and easier to realize in the distributed quantum secure computation.