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arXiv · 2508.05095

Explicit Instances of Quantum Tanner Codes

Rebecca Katharina Radebold·Stephen D. Bartlett·Andrew C. Doherty
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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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Rebecca Katharina Radebold, Stephen D. Bartlett, Andrew C. Doherty. 2025-08-07. Explicit Instances of Quantum Tanner Codes. https://arxiv.org/abs/2508.05095

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