Published in

Wiley, International Journal of Circuit Theory and Applications, 7(45), p. 897-934, 2017

DOI: 10.1002/cta.2359

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Introduction to Quantum Electromagnetic Circuits

Journal article published in 2016 by Uri Vool ORCID, Michel H. Devoret
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

The article is a short opinionated review of the quantum treatment of electromagnetic circuits, with no pretension to exhaustiveness. This review, which is an updated and modernized version of a previous set of Les Houches School lecture notes, has 3 main parts. The first part describes how to construct a Hamiltonian for a general circuit, which can include dissipative elements. The second part describes the quantization of the circuit, with an emphasis on the quantum treatment of dissipation. The final part focuses on the Josephson non-linear element and the main linear building blocks from which superconducting circuits are assembled. It also includes a brief review of the main types of superconducting artificial atoms, elementary multi-level quantum systems made from basic circuit elements. ; Comment: 59 pages, 14 figures. Submitted to IJCTA - Special Issue on Quantum Circuits