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@ARTICLE{Butt:1038551,
author = {Butt, Friederike and Locher, David and Brechtelsbauer,
Katharina and Büchler, Hans Peter and Müller, Markus},
title = {{M}easurement-free, scalable and fault-tolerant universal
quantum computing},
reportid = {FZJ-2025-01534, arXiv:2410.13568},
year = {2025},
note = {16 pages, 9 figures},
abstract = {Reliable execution of large-scale quantum algorithms
requires robust underlying operations and this challenge is
addressed by quantum error correction (QEC). Most modern QEC
protocols rely on measurements and feed-forward operations,
which are experimentally demanding, and often slow and prone
to high error rates. Additionally, no single
error-correcting code intrinsically supports the full set of
logical operations required for universal quantum computing,
resulting in an increased operational overhead. In this
work, we present a complete toolbox for fault-tolerant
universal quantum computing without the need for
measurements during algorithm execution by combining the
strategies of code switching and concatenation. To this end,
we develop new fault-tolerant, measurement-free protocols to
transfer encoded information between 2D and 3D color codes,
which offer complementary and in combination universal sets
of robust logical gates. We identify experimentally
realistic regimes where these protocols surpass
state-of-the-art measurement-based approaches. Moreover, we
extend the scheme to higher-distance codes by concatenating
the 2D color code with itself and by integrating code
switching for operations that lack a natively fault-tolerant
implementation. Our measurement-free approach thereby
provides a practical and scalable pathway for universal
quantum computing on state-of-the-art quantum processors.},
cin = {PGI-2},
cid = {I:(DE-Juel1)PGI-2-20110106},
pnm = {5221 - Advanced Solid-State Qubits and Qubit Systems
(POF4-522)},
pid = {G:(DE-HGF)POF4-5221},
typ = {PUB:(DE-HGF)25},
eprint = {2410.13568},
howpublished = {arXiv:2410.13568},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2410.13568;\%\%$},
url = {https://juser.fz-juelich.de/record/1038551},
}