Decoherence of the color code produces a mixed state with topological entanglement negativity ln 2 that corresponds to an emergent single toric code.
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A graph-based bounded distance decoder corrects all errors up to a chosen weight in arbitrary stabilizer codes by representing stabilizers and syndromes as graphs and pruning the search space with a feed-forward structure.
Programmable nonlinear bosonic circuits can deterministically produce phased-comb states that serve as a scalable bosonic quantum error-correcting code with near-optimal performance against boson loss.