In this section, we demonstrate the performance of the algorithms by numerically simulating the dissociation curves of three molecules, LiH, linear BeH 2 , and linear H 6 (the H-H bond lengths between any two adjacent Hydrogen atoms are set to be same) using the adaptive algorithms with and without the incorporation of the AR method. Each algorithm is assessed by three important indicators, the difference between the energies calculated by VQE and FCI, respectively; the number of variational parameters in final Ansätze; and the values of N T defined in Eq. (3). Firstly, the smaller is the energy error, the higher is the algorithm's accuracy. The error within 1 kcal/mol is referred as 'achieving chemical accuracy'.