Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation

Table 1

The estimated means of |⟨𝑒|𝜓^𝑟(𝑇)⟩|² minus the exact values obtained by the analytical solution of 𝜌₁₁(𝑡), that is, (|⟨𝑒|𝜓^𝑟(𝑇)⟩|²−𝜌₁₁(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