Quantum Designated Multi-Verifier Signature (QDMVS) schemes can be applied in many scenes, such as e-voting and electronic bidding. Based on locally indistinguishable orthogonal product states, a novel QDMVS scheme without any third party is proposed. The scheme avoids the use of difficult-to-prepare entangled states such as Bell states and GHZ states, eliminates the use of quantum one-way functions, significantly simplifies the signature verification process. In this scheme, there are n designated verifiers and the integrity of the signature is collectively ensured by these n verifiers. If any verifier makes an error during the signing process, the signature cannot be completed successfully. The identities of the participants are used as the public keys of the signature, which can prevent them from denying their actions. We have proven the correctness of the scheme, and the security analysis shows that the scheme can resist various malicious attacks, and it possesses sufficient security and effectiveness.
Li et al. (2025) studied this question.