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We present measurements of coherence and successive decay dynamics of higherenergy levels of a superconducting transmon qubit. By applying consecutive$\pi$-pulses for each sequential transition frequency, we excite the qubit fromthe ground state up to its fourth excited level and characterize the decay andcoherence of each state. We find the decay to proceed mainly sequentially, withrelaxation times in excess of 20 $\mu$s for all transitions. We also provide adirect measurement of the charge dispersion of these levels by analyzingbeating patterns in Ramsey fringes. The results demonstrate the feasibility ofusing higher levels in transmon qubits for encoding quantum information.

Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit