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Building manifolds from quantum codes

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Lifting a CSS code via its handlebody realization

quant-ph · 2025-05-20 · conditional · novelty 4.0

CSS code lifting can be performed with the Freedman-Hastings handlebody realization, equivalent to Tanner cone-complex lifting, classifying hypergraph-product code lifts by subgroups of π1(T1)×π1(T2).

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  • Lifting a CSS code via its handlebody realization quant-ph · 2025-05-20 · conditional · none · ref 6

    CSS code lifting can be performed with the Freedman-Hastings handlebody realization, equivalent to Tanner cone-complex lifting, classifying hypergraph-product code lifts by subgroups of π1(T1)×π1(T2).