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Related Articles from SNS

Quantum Hierarchical Locally Recoverable Codes

arXiv:2606.06736v1 Announce Type: new Abstract: Quantum locally recoverable codes (QLRCs) have recently gained attention as a framework for achieving efficient quantum storage with local recovery capabilities. Analogous to their classical counterparts, QLRCs allow a lost qudit to be reconstructed using only a small subset of other qudits, thereby reducing the resource and operational overhead in recovery.

arXiv CS 2d ago

Constructions of Quantum $(r,\delta)$-LRCs from cyclic codes

Announce Type: new Abstract: Classical $(r,\delta)$ locally recoverable codes (LRCs) play a central role in distributed data storage systems as they enable an efficient recovery from erasures by accessing a small number of surviving symbols. Motivated by their prospective use in future quantum data storage and by recent theoretical progress on quantum locally recoverable codes (qLRCs), we investigate the construction of qLRCs from classical cyclic $(r,\delta)$-LRCs. Our approach identifies...

arXiv CS 1d ago