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valbert4 committed Oct 22, 2024
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Expand Up @@ -20,7 +20,7 @@ features:
decoders:
- 'Renormalization group (RG) decoder \cite{arxiv:1006.1362}.'
- 'Tensor-network based decoder for 2D codes subject to correlated noise \cite{arxiv:1809.10704}.'
- 'Standard stabilizer-based error correction can be performed even in the presence of perturbations to the codespace \cite{arxiv:2401.06300,arxiv:2402.14906}; see also Refs. \cite{arxiv:0911.3843,arxiv:1107.3940}.'
- 'Standard stabilizer-based error correction can be performed even in the presence of perturbations to the codespace \cite{arxiv:2211.09803,arxiv:2401.06300,arxiv:2402.14906}; see also Refs. \cite{arxiv:0911.3843,arxiv:1107.3940}.'
code_capacity_threshold:
- 'Noise thresholds can be formulated as anyon \hyperref[topic:code-switching]{condensation} transitions in a topological field theory \cite{arxiv:2301.05687}, generalizing the mapping of the effect of noise on a code state to a statistical mechanical model \cite{arxiv:quant-ph/0110143,arxiv:1208.2317,arxiv:1311.7688,arxiv:1809.10704}.
Namely, the noise threshold for a noise channel \(\cal{E}\) acting on a 2D stabilizer state \(|\psi\rangle\) can be obtained from the properties of the resulting (mixed) state \(\mathcal{E}(|\psi\rangle\langle\psi|)\) \cite{arxiv:2301.05238,arxiv:2301.05687,arxiv:2301.05689,arxiv:2309.11879, arxiv:2401.17359}.'
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