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The outlook of protected quantum computing spurred enormous progress in thesearch for topological materials, sustaining a continued race to find the mostexperimentally feasible platform. Here, we show that one of the simplestquantum circuits, the Cooper-pair transistor, exhibits a nontrivial Chernnumber which has not yet been discussed, in spite of the exhaustive existingliterature. Surprisingly, the resulting quantized current response is robustwith respect to a large number of external perturbations, most notablylow-frequency charge noise and quasiparticle poisoning. Moreover, the fact thatthe higher bands experience crossings with higher topological charges leads toall the bands having the same Chern number, such that there is no restrictionto stay close to the ground state. Remaining small perturbations areinvestigated based on a generic Master equation approach. Finally, we discuss afeasible protocol to measure the quantized current.

Cooper-pair transistor as a minimal topological quantum circuit