Exact certification of AI-discovered quantum codes and circuits

Search-based and learning-based pipelines now publish catalogs of quantum error-correcting codes and of optimised hardware designs. The reported code distances and design equivalences are usually obtained by bounded or heuristic methods. We re-examine two such releases with exact methods: a catalog of 467 bivariate-bicycle-type codes, and a set of ShinkaEvolve-optimised RTLLM Verilog designs. The great majority of claims are confirmed. We identify a small number of cases where the exact value differs from the reported one, give certified replacement codes, and report exact distances for several codes whose published distances were lower bounds. We also report a null result for a selection-concentration hypothesis.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23716457
Citations
1
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

Exact certification of AI-discovered quantum codes and circuits

Advatiya Thalluri
1 citations
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

Exact certification of AI-discovered quantum codes and circuits

Advatiya Thalluri
preprint en
1 citations

Abstract

Search-based and learning-based pipelines now publish catalogs of quantum error-correcting codes and of optimised hardware designs. The reported code distances and design equivalences are usually obtained by bounded or heuristic methods. We re-examine two such releases with exact methods: a catalog of 467 bivariate-bicycle-type codes, and a set of ShinkaEvolve-optimised RTLLM Verilog designs. The great majority of claims are confirmed. We identify a small number of cases where the exact value differs from the reported one, give certified replacement codes, and report exact distances for several codes whose published distances were lower bounds. We also report a null result for a selection-concentration hypothesis.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
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