SCALA is a signaling cellular automaton with local attraction that achieves ~7.5% threshold and p_L proportional to p^{d/4} scaling for toric codes while keeping computation strictly local and robust to measurement and decoder noise.
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quant-ph 2years
2026 2verdicts
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A homological framework identifies necessary and sufficient obstruction conditions for transversal logical diagonal gates in quantum CSS codes.
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High-performance cellular automaton decoders for quantum repetition and toric code
SCALA is a signaling cellular automaton with local attraction that achieves ~7.5% threshold and p_L proportional to p^{d/4} scaling for toric codes while keeping computation strictly local and robust to measurement and decoder noise.
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Homological origin of transversal implementability of logical diagonal gates in quantum CSS codes
A homological framework identifies necessary and sufficient obstruction conditions for transversal logical diagonal gates in quantum CSS codes.