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Small Binary Stabilizer Subsystem Codes

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arxiv 2501.17447 v1 pith:TWVLBPXV submitted 2025-01-29 quant-ph

classification quant-ph
keywords binarystabilizercliffordcodecodesconsistingdatabaseequivalence
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abstract

We establish a database consisting of a representative of every binary quantum stabilizer code under local Clifford permutation equivalence for $n\leq 9$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Beyond transversality: structure of Clifford circuits for CSS codes

    quant-ph 2026-08 conditional novelty 8.0 of 10

    Every code-preserving Clifford circuit for a CSS code is a product of Z-diagonal and X-diagonal circuits, and two-fold transversal circuits realize the full logical Clifford group for 78 codes.

  2. Quantum XYZ Stabilizer Codes

    cs.IT 2026-07 conditional novelty 6.0 of 10

    A structured family of non-CSS quantum stabilizer codes built from three orthogonal classical codes, with rank-based genuineness tests, distance bounds, and finite-length decoding improvements.

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