4D and 5D Layer Codes through Color Routing

Name: 4D and 5D Layer Codes through Color Routing
Uploaded: 2026-10-02T15:54:42.945264+00:00
Duration: 561 s
Description: This work generalizes explicit Calderbank–Shor–Steane (CSS) code constructions to 4D and 5D hypercubes using color routing. The method embeds any qLDPC CSS code into these higher dimensions, achieving optimal performance by saturating BPT bounds. It resolves issues with check layer structures and line defects that plagued previous generalization attempts.

This work generalizes explicit Calderbank–Shor–Steane (CSS) code constructions to 4D and 5D hypercubes using color routing. The method embeds any qLDPC CSS code into these higher dimensions, achieving optimal performance by saturating BPT bounds. It resolves issues with check layer structures and line defects that plagued previous generalization attempts.

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