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Based on the three-level quantum system, when it is in resonance, accordingto any two lattice points closest to Hamiltonian coupling, electrons transitionfrom high energy level to low energy level and release photons; Or absorbphotons and transition from low energy level to high energy level, thusobtaining the physical process of quantum walking along a straight line underthe condition of equal probability. Then, the optical radiation in the quantumwalk is mapped into a Gaussian pulse of the electric field, and the Maxwell'sequation is solved by the three dimensional finite-difference time-domainmethod to obtain the spatial electric distributio. Finally, the physicalprocess ofquantum walking on two parallel lines is further discussed, involvingsome physical properties such as electromagnetic coupling or coherence, quantumstate exchange and so on. The electric field coupling between two lines can becalculated by FDTD, which provides a useful tool for the design and analysis ofquantum devices.

Spatial distribution of electric field of equal probability quantum walks based on three-level quantum system