Group-extension lifts systematically enlarge any LP code, transfer logical gadgets via chain maps (often with less surgery overhead), improve some code parameters, and give candidate thermodynamic families with coherent-information crossings.
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Lifting Lifted Product Codes
Group-extension lifts systematically enlarge any LP code, transfer logical gadgets via chain maps (often with less surgery overhead), improve some code parameters, and give candidate thermodynamic families with coherent-information crossings.