CuxBi2Se3 is yielded by chemical intercalating copper at the interlayer of topological insulator Bi2Se3 with layered grapheme like structure, and it is termed as topological superconductor due to the appearance of superconductivity with 12 at%~15 at% copper at 3.8 ~4.2 K temperature. CuxBi2Se3 is time-reversal-invariant superconductor and fully gapped in the bulk but has protected gapless surface Andreev bound states, and it has a three-dimensional Dirac band structure due to strong spin-orbit coupling. A superconducting energy gap leads to a state supporting Majorana fermions which are of difficulty to be detected, and thus it cannot be attracted or repelled by the ambient particles or atoms; then it is fault-resistant against the frail quantum state from disorder or impurities, which possibly provide a new venue for realizing proposals for spintronics and topological quantum computation. In this paper, the theoretical and experimental study concerning the new quantum material were reviewed firstly, the doping characters together with antisite defect features were analyzed in detail from the perspective of material science secondly, and the scientific statement of improving the physical and chemical performance by reducing the concentration of antisite defect and doping suitable elements were presented lastly