  We investigate transmon qubits made from semiconductor nanowires with a fully
surrounding superconducting shell. In the regime of reentrant superconductivity
associated with the destructive Little-Parks effect, numerous coherent
transitions are observed in the first reentrant lobe, where the shell carries
2{\pi} winding of superconducting phase, and are absent in the zeroth lobe. As
junction density was increased by gate voltage, qubit coherence was suppressed
then lost in the first lobe. These observations and numerical simulations
highlight the role of winding-induced Andreev states in the junction.
