Table 1.

The estimated means of |〈e|ψ ^r(T)〉|² minus the exact values obtained by the analytical solution of ρ ₁₁(t), that is, (|〈e|ψ ^r(T)〉|² − ρ ₁₁(t)), for different step sizes Δt and methods.

	0.01	0.02	0.05	0.10	0.15	0.20	0.25
The proposed algorithm	0.00012	0.00018	0.00015	0.00025	0.00021	0.00017	0.00021
Runge-Kutta	0.00026	0.00049	0.00070	0.00121	0.00142	0.00220	0.00311