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We demonstrate the local control of up to eight two-level systems interactingstrongly with a microwave cavity. Following calibration, the frequency of eachindividual two-level system (qubit) is tunable without influencing the others.Bringing the qubits one by one on resonance with the cavity, we observe thecollective coupling strength of the qubit ensemble. The splitting scales upwith the square root of the number of the qubits, which is the hallmark of theTavis-Cummings model. The local control circuitry causes a bypass shunting theresonator, and a Fano interference in the microwave readout, whose contributioncan be calibrated away to recover the pure cavity spectrum. The simulator'sattainable size of dressed states with up to five qubits is limited by reducedsignal visibility, and -- if uncalibrated -- by off-resonance shifts ofsub-components. Our work demonstrates control and readout of quantum coherentmesoscopic multi-qubit system of intermediate scale under conditions of noise.

Probing the Tavis-Cummings level splitting with intermediate-scale superconducting circuits