Multi-qubit gate mediated by a shared microwave resonator: Error analysis

Using microwave dressing of superconducting qubits, it is possible to implement a multi-qubit gate via a shared resonator. The gate investigated here is analogous to the Mølmer-Sørensen gate commonly used for trapped-ion qubits, but using the photon mode of the resonator instead of the phonon mode of the ions. The gate requires the use of two-photon transitions induced by bi-chromatic fields. We discuss in this talk the different sources of errors currently limiting the fidelity of the gate, relative to the coherence of the driving fields and the lifetimes of the dressed qubits.