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In this work, we use the Hamiltonian of a modified Dzyaloshinskii-Moriyamodel and investigate the perfect transfer of the quantum state on the spinnetworks. In this paper, we calculate fidelity in which fidelity depends onmagnetic field and another parameters. Then, by using the numerical analysis weshow that the fidelity of the transferred state is determined by magnetic field$B$, exchange coupling $J$ and the Dzyaloshinskii- Moriya interaction $D$. Wealso found that the perfect transfer of the quantum state is possible withcondition $B \gg \Gamma^2\omega^{N/2}$ where $\Gamma =((J+iD)/2)$ and$\omega=\Gamma^*/ \Gamma$.

Prefect Transfer of Quantum States on Spin Chain with Dzyaloshinskii- Moriya interaction in inhomogeneous Magnetic field