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The study of quantum state transfer has led to a variety of research effortsutilizing quantum simulators. By exploiting the tunability of the qubitfrequency and qubit-qubit coupling, a superconducting qubit chain can simulatevarious topological band models. In our study, we demonstrate that a spin-upstate can be transported along a topological qubit chain by modulating thecoupling strengths and the qubit frequencies. We show that the Hilbert space ofthe qubit chain can be restricted to the subspace of two edge states in thisprocess, while the Hamiltonian degenerates into a two-state Landau-Zener (LZ)model. Furthermore, we prove that the state transfer process in thistopological qubit chain is equivalent to the topological adiabatic passage ofthe LZ model. With this analysis, we generalize the state transfer approachfrom single-qubit Fock states to two-qubit Bell states.

Topological edge state transfer via topological adiabatic passage