Designing high-fidelity two-qubit gates between fluxonium qubits

• URL: http://arxiv.org/abs/2403.07242v3
• Date: Mon, 30 Sep 2024 01:59:43 GMT
• Title: Designing high-fidelity two-qubit gates between fluxonium qubits
• Authors: Emma L. Rosenfeld, Connor T. Hann, David I. Schuster, Matthew H. Matheny, Aashish A. Clerk,
• Abstract summary: We propose a two-qubit gate between fluxonium qubits for minimal error, speed, and control simplicity. Our architecture consists of two fluxoniums coupled via a linear resonator. We predict an open-system average CZ gate infidelity of $1.86 times 10-4$ in 70ns.
• Score: 0.19528996680336308
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• Abstract: We take a bottom-up, first-principles approach to design a two-qubit gate between fluxonium qubits for minimal error, speed, and control simplicity. Our proposed architecture consists of two fluxoniums coupled via a linear resonator. Using a linear coupler introduces the possibility of material optimization for suppressing its loss, enables efficient driving of state-selective transitions through its large charge zero point fluctuation, reduces sensitivity to junction aging, and partially mitigates coherent coupling to two-level systems. Crucially, a resonator-as-coupler approach also suggests a clear path to increased connectivity between fluxonium qubits, by reducing capacitive loading when the coupler has a high impedance. After performing analytic and numeric analyses of the circuit Hamiltonian and gate dynamics, we tune circuit parameters to destructively interfere sources of coherent error, revealing an efficient, fourth-order scaling of coherent error with gate duration. For component properties from the literature, we predict an open-system average CZ gate infidelity of $1.86 \times 10^{-4}$ in 70ns.

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