Explicit Instances of Quantum Tanner Codes

• URL: http://arxiv.org/abs/2508.05095v1
• Date: Thu, 07 Aug 2025 07:29:03 GMT
• Title: Explicit Instances of Quantum Tanner Codes
• Authors: Rebecca Katharina Radebold, Stephen D. Bartlett, Andrew C. Doherty,
• Abstract summary: We construct several explicit instances of quantum Tanner codes, a class ofally good quantum low-density parity check (qLDPC) codes.<n>The codes are constructed using dihedral groups and random pairs of classical codes and exhibit high encoding rates, relative distances, and pseudo-thresholds.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We construct several explicit instances of quantum Tanner codes, a class of asymptotically good quantum low-density parity check (qLDPC) codes. The codes are constructed using dihedral groups and random pairs of classical codes and exhibit high encoding rates, relative distances, and pseudo-thresholds. Using the BP+OSD decoder, we demonstrate good performance in the phenomenological and circuit-level noise settings, comparable to the surface code with similar distances. Finally, we conduct an analysis of the space-time overhead incurred by these codes.

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