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.
arXiv preprint arXiv:0708.1902 , year=
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abstract
Some open questions in quantum information theory (QIT) are described. Most of them were presented in Banff during the BIRS workshop on Operator Structures in QIT 11-16 February 2007. New material has been added in view of the recent counter-examples to p-norm multiplicativity.
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quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves that υ₂(Ω) is multiplicative for CP maps satisfying N† ∘ N = a id + b Tr[·]I, including depolarizing and transpose-depolarizing channels, implying additivity of Rényi-2 entanglement of purification.
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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.
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Additivity Results for the R\'enyi-2 Entanglement of Purification
Proves that υ₂(Ω) is multiplicative for CP maps satisfying N† ∘ N = a id + b Tr[·]I, including depolarizing and transpose-depolarizing channels, implying additivity of Rényi-2 entanglement of purification.