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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2606.02531

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

Institutions: University of Oslo, University of Guelph, The University of Texas at Dallas

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Universitetet i Oslo, Norges Forskningsråd, Natural Sciences and Engineering Research Council of Canada

Awards: G2591634599, G7066564486

OpenAlex ID: W7163172802

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