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We propose a protocol using a tunable Xmon qubit chain to constructgeneralized Su-Schrieffer-Heeger (SSH) models that support various topologicalphases. We study the time evolution of a single-excitation quantum state in aSSH-type qubit chain and find that such dynamics is linked to topologicalwinding number. We also investigate the adiabatic transfer of asingle-excitation quantum state in a generalized SSH-type qubit chain and showthat this process can be connected with topological Chern number and be used togenerate a novel entanglement-dependent topological pumping. All results havebeen demonstrated to be robust against qubit coupling imperfections and can beobserved in a short Xmon qubit chain. Our study provides a simple method todirectly measure topological invariants rooted in momentum space using quantumdynamics in real space.

Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains