Control, Calibration and Characterization of a simulated two-transmon chip. Part 1

We demonstrate a new integrated open-source tool-set for Control, Calibration and Characterization (C³) [1] by applying it to a simulated example of a two-qubit quantum processor.
We illustrate our methods using fixed-frequency superconducting qubits for which we perform open-loop optimal control to derive high-fidelity single-qubit gates. We calibrate those gates on a blackbox simulation by performing single-length Randomized Benchmarking sequences. We use the calibration data to improve the model of the system and thus are able to derive a coherence limited cross-resonance (CR) gate that achieves 99.6% fidelity without need for any calibration.

[1] Wittler, N., Roy, F., Pack, K., Werninghaus, M., Roy, A. S., Egger, D. J., Filipp, S., Wilhelm, F.K., Machnes, S. (2020).
An integrated tool-set for Control, Calibration and Characterization of quantum devices applied to superconducting qubits. arXiv:2009.09866