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valbert4 committed Aug 27, 2024
1 parent 430202a commit 8164429
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Expand Up @@ -66,9 +66,9 @@ relations:
detail: 'Lifted-product codes for trivial lift are hypergraph-product codes.'
- code_id: sc_qldpc
detail: 'Hypergraph-product stabilizer generator matrices can be used as sub-matrices to define a 2D SC-QLDPC code \cite{arxiv:2305.00137}.'
- code_id: ltc
detail: 'Applying the hypergraph product of an LTC yields a code which provides an explicit example of \textit{No Low-Error Trivial States (NLETS)} \cite{arxiv:1510.02082}.'
cousins:
- code_id: ltc
detail: 'Applying the hypergraph product to an LTC yields a code which provides an explicit example of \textit{No Low-Error Trivial States (NLETS)} \cite{arxiv:1510.02082}.'
- code_id: xyz_product
detail: 'Hypergraph (XYZ) product codes are constructed out of hypergraph products of two (three) classical linear codes.'
- code_id: binary_linear
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Expand Up @@ -107,6 +107,7 @@ features:
The min-sum decoder, a simple variant of BP, cannot be used to attain the benefits of codes with distance greater than 9 \cite{arXiv:2406.14968}.'
- 'A color-code decoder can be used for the surface code \cite{arxiv:2306.16476}.'
- 'Progressive-Proximity Bit-Flipping (PPBF) decoder \cite{arxiv:2402.15924}.'
- 'Collision clustering decoder \cite{arxiv:2309.05558}.'

threshold:
- 'Circuit-level noise: \(1.8\%\) under correlated CNOT-gate errors and single-qubit-gate depolarizing noise \cite{arxiv:0905.0531} with optimal decoder \cite{arxiv:1609.06373}, and
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