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Quantum locally recoverable codes (qLRCs) are a framework for correcting errors in quantum data while limiting the cost of recovering from data loss. This paper tightens the theoretical upper bounds on their performance by up to δ−2, without assuming particular code structures or state purity. The results are analytical; the article itself notes it is unclear whether these bounds translate into gains for practical quantum storage systems.
Researchers Bound Performance of Quantum Error Recovery
Quantum data storage demands increasingly efficient error correction, but until now, established limits often relied on restrictive assumptions about code design. This work tightens those boundaries, achieving a new upper limit that, when δ equals two, matches the classical Golowich, Guruswami single-erasure bound. An explicit remainder correction then further improves upon existing quantum bounds by up to δ−2.
Improving quantum data storage, a new theoretical limit exists for how efficiently information can be protected against errors without needing details about its internal structure or purity. A general upper bound for quantum locally recoverable codes has been developed, which minimise recovery costs after data loss, tightening existing limits through advanced integer optimisation techniques. These results define new boundaries for protecting…
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