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@ARTICLE{Solgun:867507,
author = {Solgun, Firat and DiVincenzo, David P. and Gambetta, Jay
M.},
title = {{S}imple {I}mpedance {R}esponse {F}ormulas for the
{D}ispersive {I}nteraction {R}ates in the {E}ffective
{H}amiltonians of {L}ow {A}nharmonicity {S}uperconducting
{Q}ubits},
journal = {IEEE transactions on microwave theory and techniques},
volume = {67},
number = {3},
issn = {1557-9670},
address = {New York, NY},
publisher = {IEEE},
reportid = {FZJ-2019-06130},
pages = {928 - 948},
year = {2019},
abstract = {For superconducting quantum processors consisting of low
anharmonicity qubits such as transmons, we give a complete
microwave description of the system in the qubit subspace.
We assume that the qubits are dispersively coupled to a
distributed microwave structure such that the detunings of
the qubits from the internal modes of the microwave
structure are stronger than their couplings. We define
“qubit ports” across the terminals of the Josephson
junctions and “drive ports” where transmission lines
carrying drive signals reach the chip and we obtain the
multiport impedance response of the linear passive part of
the system between the ports. We then relate interaction
parameters in between qubits and between the qubits and the
environment to the entries of this multiport impedance
function; in particular, we show that the exchange coupling
rate J between qubits is related in a simple way to the
off-diagonal entry connecting the qubit ports. Similarly, we
relate couplings of the qubits to voltage drives and lossy
environment to the entries connecting the qubits and the
drive ports. Our treatment takes into account all the modes
(possibly infinite) that might be present in the distributed
electromagnetic structure and provides an efficient method
for the modeling and analysis of the circuits.},
cin = {PGI-11 / PGI-2},
ddc = {620},
cid = {I:(DE-Juel1)PGI-11-20170113 / I:(DE-Juel1)PGI-2-20110106},
pnm = {144 - Controlling Collective States (POF3-144)},
pid = {G:(DE-HGF)POF3-144},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000460660900011},
doi = {10.1109/TMTT.2019.2893639},
url = {https://juser.fz-juelich.de/record/867507},
}