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codes/quantum/qubits/stabilizer/topological/color/2d_color/triangular_color/triangular_color.yml

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- 'Superconducting qubits: transversal \hyperref[topic:clifford]{Clifford gates}, randomized logical benchmarking, and magic-state injection demonstrated on distance-three and five 6.6.6 color codes on the Willow device by Google Quantum AI \cite{arxiv:2412.14256}. Logical state teleportation using lattice surgery performed between two distance-three color codes.'
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Superconducting qubits: transversal \hyperref[topic:clifford]{Clifford gates}, randomized logical benchmarking, and magic-state injection demonstrated on distance-three and five 6.6.6 color codes on the Willow device by Google Quantum AI \cite{arxiv:2412.14256}.
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Logical state teleportation using lattice surgery performed between two distance-three color codes.
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Magic-state cultivation was demonstrated on a device by Google Quantum AI by code switching between a distance-three 6.6.6 color code and distance-five \(XZZX\) surface code and decoding with the Tesseract decoder \cite{arxiv:2512.13908}.
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codes/quantum/qubits/stabilizer/topological/surface/non-css/xzzx/xzzx.yml

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This increase in error-correcting capabilities while using more physical qubits supports the notion of an error threshold.
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Braiding of defects has been demonstrated for the distance-five code \cite{arxiv:2210.10255}. Leakage errors have been handled in a separate work in a distance-three code \cite{arxiv:2211.04728}.
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Google Quantum AI follow-up experiment realizing distance-5 and distance-7 codes with 100 rounds of correction using the Libra and transformer-based decoders. The logical error rate is suppressed by a factor of \(\approx 2\), demonstrating beyond-break-even error correction with a block quantum code \cite{arxiv:2408.13687}.
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Magic-state cultivation was demonstrated on a device by Google Quantum AI by code switching between a distance-three 6.6.6 color code and distance-five \(XZZX\) surface code and decoding with the Tesseract decoder \cite{arxiv:2512.13908}.
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- 'Neutral atom arrays: Lukin group. Transversal CNOT gates performed on distance \(3\), \(5\), and \(7\) codes \cite{arxiv:2312.03982}. Below-threshold performance on distance \(3\) and \(5\) codes with multiple rounds of syndrome extraction and error correction \cite{arxiv:2506.20661}.'
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