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valbert4 committed Nov 11, 2024
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Clifford gates can be implemented via twist-based lattice surgery \cite{arxiv:1709.02318} or braiding twist defects
\cite{arxiv:2104.03669}.
- 'Domino twists \cite{arxiv:2411.05402}.'

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- 'Correlated noise: \(10.04(6)\%\) under mildly correlated bit-flip noise \cite{arxiv:1809.10704}.'
# The latter work considers \(X\)-type noise only, but this is equivalent since \(X\)- and \(Z\)-type noise is corrected independently.
- 'The toric code has a \hyperref[topic:measurement-threshold]{measurement threshold} of one \cite{arxiv:2402.00145}.'
- 'Coherent noise: the threshold under ML decoding corresponds to the value of a critical point of a particular random-bond Ising model (RBIM) called the complex-coupled Ashkin-Teller model \cite{arxiv:2410.22436}.'
- 'Coherent noise: the threshold under ML decoding corresponds to the value of a critical point of a particular random-bond Ising model (RBIM) called the complex-coupled Ashkin-Teller model \cite{arxiv:2410.22436,arxiv:2411.05785}.'

threshold:
- '\(0.133\%\) for independent \(X,Z\) noise and faulty syndrome measurements using a cellular automaton decoder \cite{arxiv:1609.00510}.'
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