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We demonstrate a controlled-Z gate between capacitively coupled fluxoniumqubits with transition frequencies $72.3~\textrm{MHz}$ and$136.3~\textrm{MHz}$. The gate is activated by a $61.6~\textrm{ns}$ long pulseat the frequency between non-computational transitions $|10\rangle -|20\rangle$ and $|11\rangle - |21\rangle$, during which the qubits completeonly $4$ and $8$ Larmor periods, respectively. The measured gate error of$(8\pm1)\times 10^{-3}$ is limited by decoherence in the non-computationalsubspace, which will likely improve in the next generation devices. Althoughour qubits are about fifty times slower than transmons, the two-qubit gate isfaster than microwave-activated gates on transmons, and the gate error is onpar with the lowest reported. Architectural advantages of low-frequencyfluxoniums include long qubit coherence time, weak hybridization in thecomputational subspace, suppressed residual $ZZ$-coupling rate (here$46~\mathrm{kHz}$), and absence of either excessive parameter matching orcomplex pulse shaping requirements.

Fast logic with slow qubits: microwave-activated controlled-Z gate on low-frequency fluxoniums