An SIS junction in series with a SQUID gives a superconducting qubit with a flux-tunable second Josephson harmonic of about 10% of the fundamental.
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Higher Josephson harmonics in a tunable double-junction transmon qubit
An SIS junction in series with a SQUID gives a superconducting qubit with a flux-tunable second Josephson harmonic of about 10% of the fundamental.