Quantum Error Correction
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CPM Lifts of Hypergraph-Product Codes Hit a Girth-8 Ceiling, But Deliver Near-Zero Failure Rates
Okada and Kasai construct high-girth regular quantum LDPC codes from square-base CSS hypergraph-product codes, providing explicit checkable conditions for regularity, rank deficiency, and short-cycle exclusion at column weights three and four. A key theoretical result shows that CPM (circulant permu…