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Main Authors: Rosenfeld, Emma L., Hann, Connor T., Schuster, David I., Matheny, Matthew H., Clerk, Aashish A.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.07242
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author Rosenfeld, Emma L.
Hann, Connor T.
Schuster, David I.
Matheny, Matthew H.
Clerk, Aashish A.
author_facet Rosenfeld, Emma L.
Hann, Connor T.
Schuster, David I.
Matheny, Matthew H.
Clerk, Aashish A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_07242
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Designing high-fidelity two-qubit gates between fluxonium qubits
Rosenfeld, Emma L.
Hann, Connor T.
Schuster, David I.
Matheny, Matthew H.
Clerk, Aashish A.
Quantum Physics
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.
title Designing high-fidelity two-qubit gates between fluxonium qubits
topic Quantum Physics
url https://arxiv.org/abs/2403.07242