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Quantum Error Correction Fault Tolerance Open Quantum Systems Decoherence

Intrinsic Quantum Codes: One Code To Rule Them All

arXiv

Authors: Eric Kubischta, Ian Teixeira

Year

2025

Paper ID

16957

Status

Preprint

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~2 min

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Abstract

Drawing on the analogy between intrinsic and extrinsic geometry, we define an intrinsic quantum code as a subspace of a group representation. We show how this abstract code rules over any physical (extrinsic) realization by dictating its error-correction properties. By finding one intrinsic code, we simultaneously uncover properties of all its realizations. This approach brings diverse codes into a unified framework and binds them through a single underlying symmetry.

Why This Paper Matters

This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
It adds a 2025 reference point for readers tracking recent quantum research.
Drawing on the analogy between intrinsic and extrinsic geometry, we define an intrinsic quantum code as a subspace of a group representation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.14840 [2] arXiv https://arxiv.org/abs/2511.14840 [3] Publisher https://arxiv.org/abs/2511.14840

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