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Quasiparticles are an important decoherence mechanism in superconductingqubits, and can be described with a complex admittance that is a generalizationof the Mattis-Bardeen theory. By injecting non-equilibrium quasiparticles witha tunnel junction, we verify qualitatively the expected change of the decayrate and frequency in a phase qubit. With their relative change in agreement towithin 4% of prediction, the theory can be reliably used to infer quasiparticledensity. We describe how settling of the decay rate may allow determination ofwhether qubit energy relaxation is limited by non-equilibrium quasiparticles.

Energy decay and frequency shift of a superconducting qubit from non-equilibrium quasiparticles