Relations

special_case_of → color_code_2d pending

This entry fixes the 4.8.8 bulk tiling and one explicit triangular three-color boundary convention inside the wider family of two- dimensional color codes on trivalent, face-three-colorable cellulations. The parent target is pending as a separate Atlas entry.

References: bombin2006topological

same_bulk_phase_as → color_666

The 4.8.8 and 6.6.6 tilings realize the same two-dimensional color-code order, while their face weights, finite boundary staircases, qubit counts, extraction circuits, and decoder graphs remain different.

References: bombin2006topological, kubica2015unfolding

product_of → surface

Local Clifford unfolding produces surface-code sectors on derived lattices. With boundaries those sectors can remain attached along a fold, so this relation is a representation map rather than the direct constructor recipe for the shipped incidence matrices.

References: kubica2015unfolding, aloshious2018localequivalence