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PreprintarXiv licencearXiv

Asymptotically Good Quantum Locally Testable Codes

Abstract

We construct explicit families of asymptotically good quantum locally testable codes over qubits. More precseily, we construct explicit quantum LDPC CSS codes over qubits having constant rate, constant relative distance and constant weight local testers with constant soundness.

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BibTeX
@misc{gay2026asymptotically,
  title = {{Asymptotically Good Quantum Locally Testable Codes}},
  author = {William Gay and Fernando Granha Jeronimo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20780},
  eprint = {2609.20780},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20780},
}
RIS
TY  - UNPB
TI  - Asymptotically Good Quantum Locally Testable Codes
AU  - William Gay
AU  - Fernando Granha Jeronimo
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.20780
UR  - https://arxiv.org/abs/2609.20780
AB  - We construct explicit families of asymptotically good quantum locally testable codes over qubits. More precseily, we construct explicit quantum LDPC CSS codes over qubits having constant rate, constant relative distance and constant weight local testers with constant soundness.
ER  -