A CSS construction embeds qLDPC codes to produce 4D and 5D layer codes with parameters that saturate the BPT bounds and preserve energy barrier scaling.
In particular, since the 5D Layer Codes are symmetric inX, Z-checks, we shall restrict our attention to theX-type energy barrier
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4D and 5D Layer Codes through Color Routing
A CSS construction embeds qLDPC codes to produce 4D and 5D layer codes with parameters that saturate the BPT bounds and preserve energy barrier scaling.