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Quantum Error Correction Fault Tolerance

Entanglement-Assisted Codes Outside the Stabilizer Framework

arXiv
Authors: Jaszmine DeFranco, Andrew Nemec

Year

2026

Paper ID

22412

Status

Preprint

Abstract Read

~2 min

Abstract Words

113

Citations

N/A

Abstract

We show how entanglement-assisted codes can be constructed from arbitrary quantum codes by associating them with quantum codes for erasure channels. If a subset of physical qubits is correctable for an erasure error, then it naturally forms the receiver's share of a bipartite state that can be used for entanglement-assisted communications, both in the noiseless and noisy ebit error models. In the case of degenerate codes, we show that the receiver's share of the bipartite state can sometimes be compressed, at the cost of potentially reduced error-correction ability in the noisy ebit error model. We also give examples of permutation-invariant and XP-stabilizer entanglement-assisted codes, the first outside of the stabilizer and codeword-stabilized frameworks.

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.
  • We show how entanglement-assisted codes can be constructed from arbitrary quantum codes by associating them with quantum codes for erasure channels.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.03182 [2] arXiv https://arxiv.org/abs/2603.03182 [3] Publisher https://arxiv.org/abs/2603.03182

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