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Quantum Error Correction Fault Tolerance

Hybrid Clifford Codes via Operator Algebra Quantum Error Correction and Projective Representation Theory

arXiv
Authors: Jonas Eidesen, David W. Kribs, Andrew Nemec

Year

2026

Paper ID

67979

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

0

Abstract

Clifford codes are a natural generalization of quantum stabilizer codes based primarily on representation theory. This class of codes has previously been extended to the setting of quantum subsystem codes. We formulate a two-fold generalization of Clifford codes, for both the hybrid classical and quantum information and projective representation theory settings. This leads to new classes of hybrid subspace and subsystem Clifford codes. We extend the fundamental representation theoretic quantum error correction theorem to include these codes, based on the operator algebra quantum error correction framework. We also discuss several examples throughout the presentation, of both stabilizer and non-stabilizer type.

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.
  • Clifford codes are a natural generalization of quantum stabilizer codes based primarily on representation theory.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2606.02531 [2] arXiv https://arxiv.org/abs/2606.02531 [3] Publisher https://arxiv.org/abs/2606.02531

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Current Paper #67979 #68397 Optimizing Parallel Execution o...

External citation index: OpenAlex citation signal • updated 2026-06-11 15:32:32

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