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Quantum Error Correction Fault Tolerance
Impure codes exceeding the pure bounds for quantum local recovery
arXiv
Authors: Carlos Galindo, Fernando Hernando, Helena Martín-Cruz, Ryutaroh Matsumoto
Year
2026
Paper ID
45585
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
Abstract
Literature provides several bounds for quantum local recovery, which essentially consider the number of message qudits, the distance, the length, and the locality of the involved codes. We give a family of J-affine variety codes that result in impure CSS codes. These quantum codes exceed several of the above mentioned bounds that apply to pure quantum locally recoverable codes. We also discuss a connection between bounds on quantum local recovery and on weight-constrained stabilizer codes.
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- Literature provides several bounds for quantum local recovery, which essentially consider the number of message qudits, the distance, the length, and the locality of the...
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