  Following the demonstration of semiconductor-based Josephson junctions which
are fully tuneable by electrical means, new routes have been opened for the
study of hybrid semiconductor-superconductor qubits. These include
semiconductor-based transmon qubits, single-spin Andreev qubits, and
fault-tolerant topological qubits based on Majorana zero modes. In this
perspective, we review recent progress in the path towards such novel qubit
designs. After a short introduction and a brief digression about the historical
roadmap that has led to the experimental state-of-the art, the emphasis is
placed on superconducting qubits based on semiconductor nanowires
