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Entanglement sharing through noisy qubit channels: One-shot optimal singlet fraction

Entanglement sharing through noisy qubit channels: One-shot optimal singlet fraction

Maximally entangled states---a resource for quantum information processing---can only be shared through noiseless quantum channels, whereas in practice channels are noisy. Here we ask: Given a noisy quantum channel, what is the maximum attainable purity (measured by singlet fraction) of shared entanglement for single channel use and local trace preserving …