Batch quantum multi-proxy signature

A batch quantum multi-proxy signature scheme is proposed, in which the original signatory distributes his signing right to multiple proxy signatories, and these proxy signatories can sign multiple messages. The proxy signatories generate some single particles, and the original signatory uses the quantum-controlled-not to transmit the signing information to these single particles. Then the proxy signatories measure these single particles to generate the signature, and the arbitrator uses the comparison of quantum states to verify the signature. Compared to the existing schemes, the main merit of our scheme is that multiple quantum messages can be signed. So the signing efficiency will be increased greatly.