Self-dual Stacked Quantum Low-Density Parity-Check Codes

• URL: http://arxiv.org/abs/2602.15372v1
• Date: Tue, 17 Feb 2026 05:55:48 GMT
• Title: Self-dual Stacked Quantum Low-Density Parity-Check Codes
• Authors: Ze-Chuan Liu, Chong-Yuan Xu, Yong Xu,
• Abstract summary: We introduce a method for constructing self-dual qLDPC codes by stacking non-self-dual qLDPC codes.<n>We conduct numerical calculations to assess the performance of these codes as quantum memory under the circuit-level noise model.
• Score: 9.268855474673822
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum low-density parity-check (qLDPC) codes are promising candidates for fault-tolerant quantum computation due to their high encoding rates and distances. However, implementing logical operations using qLDPC codes presents significant challenges. Previous research has demonstrated that self-dual qLDPC codes facilitate the implementation of transversal Clifford gates. Here we introduce a method for constructing self-dual qLDPC codes by stacking non-self-dual qLDPC codes. Leveraging this methodology, we develop double-chain bicycle codes, double-layer bivariate bicycle (BB) codes, double-layer twisted BB codes, and double-layer reflection codes, many of which exhibit favorable code parameters. Additionally, we conduct numerical calculations to assess the performance of these codes as quantum memory under the circuit-level noise model, revealing that the logical failure rate can be significantly reduced with high pseudo-thresholds.

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