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Qldpc Advanced Quantum Codes Quantum Error Correction Fault Tolerance

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly

arXiv
Authors: K. Sai Mineesh Reddy, Navin Kashyap

Year

2026

Paper ID

3898

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

This paper introduces a framework for constructing Calderbank-Shor-Steane (CSS) codes that support fault-tolerant logical transversal Z-rotations. Using this framework, we obtain asymptotically good CSS codes that fault-tolerantly realize the logical transversal Clifford group. Furthermore, investigating CSS-T codes, we: (a) demonstrate asymptotically good CSS-T codes wherein the transversal T realizes the logical transversal Sdagger; (b) show that the condition C2 ast C1 subseteq C1perp is necessary but not sufficient for CSS-T codes; and (c) revise the characterizations of CSS-T codes wherein the transversal T implements the logical identity and the logical transversal T, respectively.

Why This Paper Matters

  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • This paper introduces a framework for constructing Calderbank-Shor-Steane (CSS) codes that support fault-tolerant logical transversal Z-rotations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.08568 [2] arXiv https://arxiv.org/abs/2601.08568 [3] Publisher https://arxiv.org/abs/2601.08568

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