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arxiv: 0708.1902 · v1 · submitted 2007-08-14 · 🪐 quant-ph

Some Open Problems in Quantum Information Theory

classification 🪐 quant-ph
keywords informationopenquantumsometheoryaddedbanffbeen
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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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Cited by 2 Pith papers

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    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.

  2. Additivity Results for the R\'enyi-2 Entanglement of Purification

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    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.