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On the electromagnetic couplings in superconducting qubit circuits

Ebrahim Forati forati@google.com    Brandon W. Langley    Ani Nersisyan Google Quantum AI,  Goleta, CA 93117, USA
Abstract

The electromagnetic couplings among resonators and transmission lines are discussed. A single resonator coupled to an N-port microwave network is formulated. The equation of motion of the resonator and the input-output relations of the network are obtained. Methods of extracting the couplings from electromagnetic solutions are also discussed.

Resonator, transmission line, coupling, superconducting qubit
††preprint: Electromagnetic couplings
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./introduction.tex0 \subimportlevel./single_resonator.tex0 \subimportlevel./distributed_resonator.tex0 \subimportlevel./resonator_loss_coupling.tex0 \subimportlevel./resonator_resonator_coupling.tex0 \subimportlevel./uniformly_coupled_lines.tex0 \subimportlevel./Coupling_in_distributed_resonators.tex0 \subimportlevel./appendices.tex0