  A superconducting transmon qubit resilient to strong magnetic fields is an
important component for proposed topological and hybrid quantum computing (QC)
schemes. Transmon qubits consist of a Josephson junction (JJ) shunted by a
large capacitance, coupled to a high quality factor superconducting resonator.
In conventional transmon devices, the JJ is made from an Al/AlO$_x$/Al tunnel
junction which ceases operation above the critical magnetic field of Al, 10 mT.
Alternative junction technologies are therefore required to push the operation
of these qubits into strong magnetic fields. Graphene JJs are one such
candidate due to their high quality, ballistic transport and electrically
tunable critical current densities. Importantly the monolayer structure of
graphene protects the JJ from orbital interference effects that would otherwise
inhibit operation at high magnetic field. Here we report the integration of
ballistic graphene JJs into microwave frequency superconducting circuits to
create the first graphene transmons. The electric tunability allows the
characteristic band dispersion of graphene to be resolved via dispersive
microwave spectroscopy. We demonstrate that the device is insensitive to the
applied field and perform energy level spectroscopy of the transmon at 1 T,
more than an order of magnitude higher than previous studies.
