A new coupled-layer construction unifies quantum product codes with coupled-layer phases and produces non-CSS stabilizer codes, including X-cube, Chamon, fermionic toric code, and Walker-Wang examples.
Garre-Rubio, Emergent (2+1)d topological orders from itera- tive (1+1)d gauging, Nature Communications15, 7986 (2024)
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Coupled-Layer Codes: Beyond Quantum Product Constructions
A new coupled-layer construction unifies quantum product codes with coupled-layer phases and produces non-CSS stabilizer codes, including X-cube, Chamon, fermionic toric code, and Walker-Wang examples.