Under strong drives, which are becoming necessary for fast high-fidelity operations, transmons can undergo drive-induced state transitions. These transitions can involve dressed states of the driven transmon, which are chaotic. Whenever the computational manifold containing the transmon ground and excited states couples to such states, enhanced offset-charge sensitivity and destructive effects in readout can appear. We show here that these detrimental effects can further propagate to other degrees of freedom, for example to neighboring qubits in a multiqubit system. Specifically, we show that a coherently driven transmon can act as a source of incoherent noise to another circuit element coupled to it. By using a full quantum model and a semiclassical analysis, we perform the noise spectroscopy of the driven transmon by considering its coupling to a two-level system (TLS), and we show that, in a certain limit, the interaction with the driven transmon can be modeled as a stochastic diffusive process driving the TLS.

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• Circuit quantum electrodynamics
• Noise
• Quantum information with solid state qubits
• Quantum chaotic systems
• Superconducting qubits
• Bloch-Floquet theorem
• Microwave techniques
• Quantum master equation