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This article is devoted to the development of analytical and numericalapproaches to the problem of the end-to-end quantum state transfer along thespin-1/2 chain using two methods: (a) a homogeneous spin chain with week endbonds and equal Larmor frequencies and (b) a homogeneous spin chain with endLarmor frequencies different from inner ones. A tridiagonal matrixrepresentation of the XY Hamiltonian with nearest neighbor interactionsrelevant to the quantum state transfer is exactly diagonalized for acombination of the above two methods. In order to take into accountinteractions of the remote spins we used numerical simulations of the quantumstate transfer in ten-node chains. We compare the state transfer times obtainedusing the two above methods for chains governed by the both XY and XXZHamiltonians and using both nearest neighbor and all node interactions.

High probability state transfer in spin-1/2 chains: Analytical and numerical approaches