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Approximate quantum error correction

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arxiv quant-ph/0112106 v1 pith:JG3LPCH3 submitted 2001-12-18 quant-ph

Benjamin Schumacher , Michael D. Westmoreland This is my paper · ORCID
classification quant-ph
keywords approximatechannelcoherentcorrectionerrorinformationquantumarise
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The errors that arise in a quantum channel can be corrected perfectly if and only if the channel does not decrease the coherent information of the input state. We show that, if the loss of coherent information is small, then approximate error correction is possible.

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Cited by 1 Pith paper

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  1. Approximate Quantum Error Correction at Chiral Topological Edges

    quant-ph 2026-08 conditional novelty 7.0 of 10

    Chiral edge codes have local-erasure robustness governed by power-law exponents with hierarchy γ≥α≥min{α,β}, so the 2D code is at least as robust as its 1D CFT reduction.

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