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Superconducting Qubits
Exact and approximate fluxonium array modes
arXiv
Authors: Stephen Sorokanich, Max Hays, Neill C. Warrington
Year
2024
Paper ID
66063
Status
Preprint
Abstract Read
~2 min
Abstract Words
92
Citations
N/A
Abstract
We present an exact solution for the linearized junction array modes of the superconducting qubit fluxonium in the absence of array disorder. This solution holds for arrays of any length and ground capacitance, and for both differential and grounded devices. Array mode energies are determined by roots of convex combinations of Chebyshev polynomials, and their spatial profiles are plane waves. We also provide a simple, approximate solution, which estimates array mode properties over a wide range of circuit parameters, and an accompanying Mathematica file that implements both the exact and approximate solutions.
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- This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
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- We present an exact solution for the linearized junction array modes of the superconducting qubit fluxonium in the absence of array disorder.
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