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Quantum Defect Analysis and Target-Orbit-Directed Correction via the Purpose-Oriented Framework: Applications to Entanglement Repairability and Teleportation Activation
Quantum resource theories quantify advantages but suffer from ambiguous free sets, limiting target-oriented missions. We improve upon this by introducing a purpose-oriented framework, shifting reference from ``free'' to ``maximally efficient.'' Its deficiency measure quantifies loss, classifies mixe
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