The finite size effect of asymmetric sending or not sending twin-field quantum key distribution with two-way communication

State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China 2 Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China Data Communication Science and Technology Research Institute, Beijing 100191, China 4 Jinan Institute of Quantum technology, SAICT, Jinan 250101, China 5 Shenzhen Institute for Quantum Science and Engineering, and Physics Department, Southern University of Science and Technology, Shenzhen 518055, China