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arXiv · 2609.26735

Good Quantum Locally Testable Codes from Product Expansion

Mitali Bafna·Anqi Li·Quynh T. Nguyen
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Abstract

We construct quantum locally testable codes (LTCs) with constant rate, distance, soundness and locality under a variant of a product expansion conjecture of Bafna and Vyas about Reed-Solomon codes. In particular, we use the high-dimensional expansion framework of Dinur, Lin and Vidick for constructing quantum LTCs, instantiated with the non-Abelian cubical complexes of Rungtanapirom, Stix and Vdovina. Our code is obtained by equipping the complex with carefully chosen Reed-Solomon local codes whose symmetries are compatible with those of the complex.

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Mitali Bafna, Anqi Li, Quynh T. Nguyen. 2026-09-22. Good Quantum Locally Testable Codes from Product Expansion. https://arxiv.org/abs/2609.26735

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