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@ARTICLE{Mller:904646,
author = {Müller, Matthias and Gherardini, Stefano and Calarco,
Tommaso and Montangero, Simone and Caruso, Filippo},
title = {{I}nformation {T}heoretical {L}imits for {Q}uantum
{O}ptimal {C}ontrol {S}olutions: {E}rror {S}caling of
{N}oisy {C}hannels},
reportid = {FZJ-2021-06215},
year = {2020},
note = {Open quantum systems, Quantum optimal control, Channel
capacities, Quantum speed limit, decoherence. This work has
been submitted to the IEEE for possible publication.
Copyright may be transferred without notice, after which
this version may no longer be accessible},
abstract = {Accurate manipulations of an open quantum system require a
deep knowledge of its controllability properties and the
information content of the implemented control fields. By
using tools of information and quantum optimal control
theory, we provide analytical bounds (information-time
bounds) to characterize our capability to control the system
when subject to arbitrary sources of noise. Moreover, since
the presence of an external noise field induces an open
quantum system dynamics, we also show that the results
provided by the information-time bounds are in perfect
agreement with the Kofman-Kurizki universal formula
describing decoherence processes. Finally, we numerically
test the universal scaling of the control accuracy as a
function of the noise parameters, by using the dressed
chopped random basis (dCRAB) algorithm for quantum optimal
control.},
cin = {PGI-8},
cid = {I:(DE-Juel1)PGI-8-20190808},
pnm = {5221 - Advanced Solid-State Qubits and Qubit Systems
(POF4-522)},
pid = {G:(DE-HGF)POF4-5221},
typ = {PUB:(DE-HGF)25},
eprint = {2006.16113},
howpublished = {arXiv:2006.16113},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2006.16113;\%\%$},
url = {https://juser.fz-juelich.de/record/904646},
}