%0 Journal Article %T Thermal and Residual Excited-State Population in a 3D Transmon Qubit %A X. Y. Jin %A A. Kamal %A A. P. Sears %A T. Gudmundsen %A D. Hover %A J. Miloxi %A R. Slattery %A F. Yan %A J. Yoder %A T. P. Orlando %A S. Gustavsson %A W. D. Oliver %J Physics %D 2014 %I arXiv %R 10.1103/PhysRevLett.114.240501 %X We present a systematic study of the first excited-state population in a 3D transmon qubit mounted in a dilution refrigerator with a variable temperature. Using a modified version of the protocol developed by Geerlings et al. [1], we observe the excited-state population to be consistent with a Maxwell-Boltzmann distribution, i.e., a qubit in thermal equilibrium with the refrigerator, over the temperature range 35-150 mK. Below 35 mK, the excited-state population saturates to 0.1%, near the resolution of our measurement. We verified this result using a flux qubit with ten-times stronger coupling to its readout resonator. We conclude that these qubits have effective temperature T_{eff} = 35 mK. Assuming T_{eff} is due solely to hot quasiparticles, the inferred qubit lifetime is 108 us and in plausible agreement with the measured 80 us. %U http://arxiv.org/abs/1412.2772v3