Abstract
Systematic errors in qubit state preparation arise due to non-idealities in the qubit control lines such as impedance mismatch. Using a data-based methodology of short-open-load calibration at a temperature of 30 mK, we report calibrated 1-port scattering parameter data of individual qubit drive line components. At 5~GHz, cryogenic return losses of a 20-dB-attenuator, 10-dB-attenuator, a 230-mm-long 0.86-mm silver-plated cupronickel coaxial cable, and a 230-mm-long 0.86-mm NbTi coaxial cable were found to be 35⁺³₋₂ dB, 33⁺³₋₂ dB, 34⁺³₋₂ dB, and 29⁺²₋₁ dB respectively. For the same frequency, we also extract cryogenic insertion losses of 0.99^+0.04_-0.04 dB and 0.02^+0.04_-0.04 dB for the coaxial cables. We interpret the results using a master equation simulation of all XY gates performed on a single qubit. For example, we simulate a sequence of two 5 ns gate pulses (X & Y) through a 2-element Fabry-P\'erot cavity with 276-mm path length directly preceding the qubit, and establish that the return loss of its reflective elements must be >9.7 dB (> 14.7 dB) to obtain 99.9 % (99.99 %) gate fidelity.