Entry facet
Use cases & realizations
Where the code fits and what has been demonstrated.
Use cases & fit
Platforms: algebraic-code-design routed-or-long-range-qldpc-architecture
Tasks: css-code-construction qldpc-factor-search decoder-and-logical-gate-research
Physical realizations
routed or non-local HGP syndrome-extraction architecture proposed
Distance-preserving stabilizer-measurement circuits and non-local resource studies provide schedules for declared HGP layouts and interaction models. They do not turn every sparse factor pair into a shallow geometrically local circuit. No generic binary HGP memory with repeated noisy extraction on laboratory hardware was located as of 2026-08-10.
References: delfosse2021measurement, manes2025distance, chandra2025nonlocal
dimension-jump HGP state preparation proposed
A single-shot preparation proposal uses a higher-dimensional construction and measurement assumptions for declared HGP families. This is a state-preparation protocol under those hypotheses, not a generic constructor feature or a laboratory memory demonstration.
References: hong2025singleshot