Robustness of a universal gate set implementation in transmon systems via Chopped Random Basis optimal control

TL;DR

This paper demonstrates the use of Chopped Random Basis optimal control to implement a universal set of quantum gates in transmon qubits, accounting for realistic noise and leakage effects to enhance robustness.

Contribution

It introduces a robust optimal control method for transmon gates that considers leakage and noise, improving fidelity in practical quantum computing implementations.

Findings

Achieved target gate infidelity of 10^{-2} using optimal control.

Validated robustness of control solutions against noise and spectral distortions.

Accounted for leakage to non-computational states during optimization.

Abstract

We numerically study the implementation of a universal two-qubit gate set, composed of CNOT, Hadamard, phase and $\pi/8$ gates, for transmon-based systems. The control signals to implement such gates are obtained using the Chopped Random Basis optimal control technique, with a target gate infidelity of $10^{-2}$. During the optimization processes we account for the leakage toward non-computational states, an important non-ideality affecting transmon qubits. We also test and benchmark the optimal control solutions against the introduction of Gaussian white noise and spectral distortion, two key non-idealities that affect the control signals in transmon systems.