Simultaneous Reduction of Observables and Measured Qudits in Entanglement-Assisted Quantum Local Recovery

arXiv:2609.23316 · quant-ph, cs.IT, math.IT · Submitted 2026-09-20 · Read on arXiv

quant-ph, cs.IT, math.IT

Submitted: 2026-09-20

Updated: 2026-09-20

Terminology

• Entanglement — 24× in this paper · explained in 4 episodes
• Trace — 3× in this paper · explained in 2 episodes
• CSS Codes — 2× in this paper · explained in 2 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Hamming Distance — 1× in this paper · explained in 2 episodes

Sources

• Quantum codes and optimal pure quantum $(r,\delta)$-LRCs via the MP construction
• Quantum $(r,\delta)$-Locally Recoverable BCH and Homothetic-BCH Codes
• Quantum Hierarchical Locally Recoverable Codes
• Entanglement-assisted quantum locally recoverable codes: bounds and constructions with availability
• Entanglement-Assisted Quantum Locally Recoverable Codes: Bounds, Optimal Constructions, and Achievability
• Improved bounds and optimal constructions of pure quantum locally recoverable codes
• Entanglement-Assisted Quantum Locally Recoverable Codes: Characterizations, Bounds, and Constructions
• Information locality of a quantum locally recoverable code

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