“…The development of high-quality hybrid superconductor–semiconductor materials over the past decade enabled new possibilities in superconducting electronics and quantum computing. − In particular, Andreev bound states (ABSs) − arising in superconductor–semiconductor–superconductor Josephson junctions (JJs) − offer functionalities not attainable in metallic JJs. A prominent example is the electrostatic tuning of the critical current, ,, which allows for JJ field-effect transistors, − voltage-tunable superconducting qubits, − resonators, , and amplifiers. − Moreover, the interplay between ABSs, spin–orbit interaction, and Zeeman fields results in nonreciprocal switching currents − and anomalous phase offsets, or φ 0 -junctions, − with applications in superconducting electronics and spintronics . A yet largely unexplored possibility offered by superconductor–semiconductor hybrids is the engineering of Andreev molecules from the hybridization of spatially overlapping ABSs. − Predicted to arise in JJs coupling over length scales comparable to the superconducting coherence length, Andreev molecules offer a promising platform to realize φ 0 -junctions and novel manipulation and coupling schemes for Andreev qubits .…”