Nonadditive quantum error correcting codes adapted to the ampltitude damping channel
classification
🪐 quant-ph
keywords
codesadaptedchannelcorrectingdampingerrornonadditivequantum
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A family of high rate quantum error correcting codes adapted to the amplitude damping channel is presented. These codes are nonadditive and exploit self-complementarity structure to correct all first-order errors. Their rates can be higher than 1/2. The recovery operations of these codes can be generated by a simple algorithm and have a projection nature, which makes them potentially easy to implement.
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Forward citations
Cited by 1 Pith paper
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Variance Geometry of Exact Pauli-Detecting Codes: Continuous Landscapes Beyond Stabilizers
Exact Pauli-detecting codes form continuous connected families in a variance geometry parameterized by λ* from Knill-Laflamme conditions, with stabilizer codes occupying only discrete measure-zero subsets.
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