The authors combine noise symmetries (iid, isotropic, Choi) with the extension symmetry of a known AQEC bounding hierarchy, add a measurement-based rounding that converts outer bounds into certified codes, and demonstrate the framework on three-qubit codes under symmetric noise.
Approximate quantum error correction
1 Pith paper cite this work, alongside 26 external citations. Polarity classification is still indexing.
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abstract
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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On approximate quantum error correction for symmetric noise
The authors combine noise symmetries (iid, isotropic, Choi) with the extension symmetry of a known AQEC bounding hierarchy, add a measurement-based rounding that converts outer bounds into certified codes, and demonstrate the framework on three-qubit codes under symmetric noise.