Quantum homomorphic broadcast multi-signature based on homomorphic aggregation

Quantum multi-signature has attracted extensive attention since it was put forward. Beside its own improvement, related research is often combined with other quantum signature. However, this type of quantum signature has one thing in common, that is, the generation and verification of signature depend heavily on the shared classical secret key. In order to increase the reliability of signature, the homomorphic aggregation technique is applied to quantum multi-signature, and then we propose a quantum homomorphic multi-signature protocol. Unlike previous quantum multi-signature protocols, this protocol utilizes homomorphic properties to complete signature generation and verification. In the signature generation phase, entanglement swapping is introduced, so that the individual signatures of multiple users are aggregated into a new multi-signature. The original quantum state is signed by the shared secret key to realize the verification of the signature in the verification phase. The signature process satisfies the homomorphic property, which can improve the reliability of the signature.

Automated summary

Quantum multi-signature, often combined with other quantum signatures, heavily relies on shared classical secret keys for signature generation and verification. To improve reliability, we propose a quantum homomorphic multi-signature protocol that applies homomorphic aggregation and entanglement swapping. This protocol utilizes the homomorphic property to complete signature generation and verification, aggregating individual signatures into a new multi-signature and verifying the signature with a shared secret key. The homomorphic property enhances signature reliability.