Tunable Inductive Coupler for High-Fidelity Gates Between Fluxonium Qubits

Abstract

The fluxonium qubit is a promising candidate for quantum computation due to its long coherence times and large anharmonicity. We present a tunable coupler that realizes strong inductive coupling between two heavy-fluxonium qubits, each with approximately 50-MHz frequencies and approximately 5-GHz anharmonicities. The coupler enables the qubits to have a large tuning range of 𝑋⁢𝑋 coupling strengths (−35 to 75 MHz). The 𝑍⁢𝑍 coupling strength is <3 kHz across the entire coupler bias range and <100 Hz at the coupler off position. These qualities lead to fast high-fidelity single- and two-qubit gates. By driving at the difference frequency of the two qubits, we realize a $\sqrt{i\textrm{SWAP}}$ gate in 258 ns with fidelity 99.72%, and by driving at the sum frequency of the two qubits, we achieve a $\sqrt{𝑏⁢\textrm{SWAP}}$ gate in 102 ns with fidelity 99.91%. This latter gate is only five qubit Larmor periods in length. We run cross-entropy benchmarking for over 20 consecutive hours and measure stable gate fidelities, with $\sqrt{𝑏⁢\textrm{SWAP}}$ drift (2⁢𝜎) <0.02% and $\sqrt{i\textrm{SWAP}}$ drift <0.08%.