Project supported by the National Natural Science Foundation of China(Grant No.61502048);the Natural Science Foundation of Shanxi Province of China(Grant No.201801D221159);the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi Province of China(Grant No.2019L0470);Youth Research Foundation of Shanxi University of Finance and Economics in Shanxi Province of China(Grant No.QN-2016009)
Quantum system is inevitably affected by the external environment in the real world.Two controlled quantum dialogue protocols are put forward based on logicalχ-type states under collective noise environment.One is ag...