A finite-field two-branch coset construction generates regular CSS LDPC bases for multiple (J,L) pairs, with a (3,10) example lifted 64-fold to a [[10240,4108,10≤d≤32]] code and post-processed FER of 1e-7 at p=0.058.
Explicit construction of quantum quasi-cyclic low-density parity-check codes with column weight 2 and girth 12
3 Pith papers cite this work. Polarity classification is still indexing.
fields
quant-ph 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
A new [[16384,4142,≤40]] quantum LDPC code family is obtained by CPM-lifting a girth-8 base CSS code, achieving frame error rate ~10^{-8} at depolarizing noise p=0.085.
Quasi-orthogonal stabilizer codes relax orthogonality constraints to achieve higher logical rates and up to two orders of magnitude better error suppression under depolarizing noise.
citing papers explorer
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A Two-Branch Finite-Field Construction for Regular CSS LDPC Bases
A finite-field two-branch coset construction generates regular CSS LDPC bases for multiple (J,L) pairs, with a (3,10) example lifted 64-fold to a [[10240,4108,10≤d≤32]] code and post-processed FER of 1e-7 at p=0.058.
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High-Girth Regular Quantum LDPC Codes from Affine-Coset Structures
A new [[16384,4142,≤40]] quantum LDPC code family is obtained by CPM-lifting a girth-8 base CSS code, achieving frame error rate ~10^{-8} at depolarizing noise p=0.085.
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Quasi-Orthogonal Stabilizer Design for Efficient Quantum Error Suppression
Quasi-orthogonal stabilizer codes relax orthogonality constraints to achieve higher logical rates and up to two orders of magnitude better error suppression under depolarizing noise.