  We propose an experimentally feasible scheme for realizing quantum state
transfer via the topological edge states in a one-dimensional cavity-magnon
lattice. We find that the cavity-magnon system can be mapped analytically into
the generalized Su-Schrieffer-Heeger model with tunable cavity-magnon coupling.
It can be shown that the edge state can be served as a quantum channel to
realize the photonic and magnonic state transfers by adjusting the
cavity-cavity coupling strength. Further, our scheme can realize the quantum
state transfer between photonic state and magnonic state by changing the
amplitude of the intracell hopping. With a numerical simulation, we
quantitatively show that the photonic, magnonic and magnon-to-photon state
transfers can be achieved with high fidelity in the cavity-magnon lattice.
Spectacularly, the three different types of quantum state transfer schemes can
be even transformed to each other in a controllable fashion. This system
provides a novel way of realizing quantum state transfer and can be implemented
in quantum computing platforms.
