Semi-Quantum Proxy Signature Scheme with Quantum Walk-Based Teleportation

Quantum secure communication network is in the stage of rapid construction. As classical networks, we researchers also need to develop different practical quantum protocols for different application scenarios in quantum communication network. However, complex quantum operations and expensive quantum resource preparation seriously hinder the practical development of quantum communication networks. A variety of quantum signature protocols play an important role in quantum communications; however, these protocols also face the same problems described above. In this paper, we propose a semi-quantum proxy signature scheme with quantum walk-based teleportation to solve these problems. Proxy signer TP as the quantum participant and original signer Alice is the classical participant. We introduce quantum walk teleportation to generate quantum entanglement resource naturally in signature phase, which seems more in line with the reality of quantum communication networks. Security analysis show that this scheme meets all the security requirement of quantum proxy signature protocol, and the qubit efficiency analysis also proves this protocol has better practical value.