Introduction to quantum electromagnetic circuits. (5th June 2017)

• Record Type: Journal Article
• Authors: Vool, Uri; Devoret, Michel
• Other Names: Civalleri Pier Paolo guestEditor.; Csurgay Árpád I. guestEditor.; Porod Wolfgang guestEditor.
• Is Part Of: International journal of circuit theory and applications. Volume 45:Number 7(2017:Jul.)
• Page Start: 897
• Page End: 934
• Publication Date: 2017-06-05
• Subjects: quantum information -- open quantum systems -- superconducting qubits -- quantum circuits -- Josephson junctions -- fluctuation–dissipation theorem; Electric circuit analysis -- Periodicals; 621.319205
• DOI: 10.1002/cta.2359
• Languages: English
• ISSNs: 0098-9886

Abstract

Summary: 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 three 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 nonlinear 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. Copyright © 2017 John Wiley & Sons, Ltd. Abstract : The article is a short opinionated review of the quantum treatment of electromagnetic circuits. The review has three 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 describes the Josephson nonlinear element and the main linear building blocks from which superconducting circuits are assembled.