Aiming at the needs of high-efficiency, two-way and synchronization in Quantum Identity Authentication (QIA), a two-party quantum identity authentication protocol based on single python was proposed. First, a new type of single-photon two-way measurement base coding method was used in the protocol. Then an authentication process based on quantum tickets was proposed by combining with the idea of Kerberos classic cryptographic protocol. On this basis, the strategy of two-way and synchronous authentication was adopted in the authentication process. Finally, the probability calculation and security analysis of various attack methods in quantum communication and authentication were carried out, and at the same time, the protocol was tried to expand from two parties to multiple parties. Compared with the preparation-measurement based quantum identity authentication protocol with new coding strategy, in the research result, a complete two-way synchronous identity authentication protocol which can prevent user repudiation was proposed, and the reference principles for expanding the protocol to multi-party communication were given. In conclusion, the proposed method improves the efficiency of quantum authentication theory, supports the new possibility of the combination and reference of quantum communication protocol and classic protocol, and realizes the theoretically undeniable synchronous authentication process of two parties.