For any distribution of pure n-qubit states, a QAE with k encoder ancillas and n decoder ancillas achieves the optimal average fidelity among all CPTP encoder-decoder pairs, with the encoder threshold proven sharp.
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Toward the Goldilocks blind compression of quantum states
For any distribution of pure n-qubit states, a QAE with k encoder ancillas and n decoder ancillas achieves the optimal average fidelity among all CPTP encoder-decoder pairs, with the encoder threshold proven sharp.