Proposal for entangling gates on fluxonium qubits via a two-photon transition

Abstract

We propose a family of microwave-activated entangling gates on two capacitively coupled fluxonium qubits. A microwave pulse applied to either qubit at a frequency near the half-frequency of the $|00⟩-|11⟩$ transition induces two-photon Rabi oscillations with a negligible leakage outside the computational subspace, owing to the strong anharmonicity of fluxoniums. By adjusting the drive frequency, amplitude, and duration, we obtain the gate family that is locally equivalent to the fermionic-simulation gates such as $\sqrt{\mathrm{SWAP}}$-like and controlled-phase gates. The gate error can be tuned below $10^{-4}$ for a pulse duration under 100 ns without excessive circuit parameter matching. Given that the fluxonium coherence time can exceed 1 ms, our gate scheme is promising for large-scale quantum processors.

arXiv comment15 pages, 6 figures; published version

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• Entangling transmons with low-frequency protected superconducting qubits
• Fast and Robust Geometric Two-Qubit Gates for Superconducting Qubits and beyond
• CNOT gates for fluxonium qubits via selective darkening of transitions
• Fast Flux Entangling Gate for Fluxonium Circuits
• Microwave-activated gates between a fluxonium and a transmon qubit
• Impact of Josephson junction array modes on fluxonium readout
• Tunable coupling scheme for implementing two-qubit gates on fluxonium qubits
• Theory of Multi-photon Processes for Applications in Quantum Control
• The qutrit as a heat diode and circulator