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Bulletin of the American Physical Society

Implementing gates in a fluxonium-like qubit with suppressed wavefunction overlap

Nathan Earnest, Yao Lu, David C. McKay, David A. Czaplewski, Leonidas E. Ocola, David Schuster

Published Mar 3, 2015• 0 citations
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Fluxonium qubits demonstrate exceptional potential for quantum processing; yet, realizing scalable architectures using them remains challenging. We propose a fluxonium-based square-grid design with fast ∼63\sim63∼63~ns controlled-Z (CZ) gates, achieving coherent errors below 10−410^{-4}10−4, activated via microwave-driven transmon couplers. A central difficulty in such large-scale systems with all-microwave gates and, therefore, strong static couplings, is suppressing parasitic interactions that extend beyond nearest neighbors to include next-nearest elements. We address this issue by introducing several design strategies: the frequency allocation of both qubits and couplers, the localization of coupler wavefunctions, and a differential oscillator that suppresses residual long-range interactions. In addition, the architecture natively supports fast ∼70\sim70∼70~ns CZZ gates -- three-qubit operations composed of two CZ gates sharing a common qubit -- which reduce the incoherent error by ∼35%\sim 35\%∼35% compared to performing the corresponding CZs sequentially. Together, these advances establish an interaction-resilient platform for large-scale fluxonium processors and can be adapted to a variety of fluxonium layouts.