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@BOOK{Ciani:1052605,
author = {Ciani, Alessandro and DiVincenzo, David P. and Terhal,
Barbara M.},
title = {{L}ecture {N}otes on {Q}uantum {E}lectrical {C}ircuits},
address = {Delft},
publisher = {TU Delft OPEN Publishing},
reportid = {FZJ-2026-00982},
pages = {144},
year = {2024},
abstract = {During the last 30 years, stimulated by the quest to build
superconducting quantum processors, a theory of quantum
electrical circuits has emerged and this theory goes under
the name of circuit quantum electrodynamics or circuit-QED.
The goal of the theory is to provide a quantum description
of the most relevant degrees of freedom. The central objects
to be derived and studied are the Lagrangian and the
Hamiltonian governing these degrees of freedom. Central
concepts in classical network theory such as impedance and
scattering matrices can be used to obtain the Hamiltonian
and Lagrangian description for the lossless (linear) part of
the circuits. Methods of analysis, both classical and
quantum, can also be developed for nonreciprocal circuits.
These lecture notes aim at giving a pedagogical overview of
this subject for theoretically-oriented Master or PhD
students in physics and electrical engineering, as well as
Master and PhD students who work on experimental
superconducting quantum devices and wish to learn more
theory.},
cin = {PGI-12},
cid = {I:(DE-Juel1)PGI-12-20200716},
pnm = {5221 - Advanced Solid-State Qubits and Qubit Systems
(POF4-522)},
pid = {G:(DE-HGF)POF4-5221},
typ = {PUB:(DE-HGF)3},
url = {https://juser.fz-juelich.de/record/1052605},
}