Comment on "Entanglement transformation between two-qubit mixed states by LOCC" [Phys. Lett. A 373 (2009) 3610]

Physics – Quantum Physics

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improved version due to the valuable suggestions of the two anonymous referees

Scientific paper

The paper [Phys. Lett. A 373 (2009) 3610] by D.-C. Li analyzes the
transformation between two-qubit mixed states by local operations and classical
communication. We show that the proof of the main theorem, Theorem 2.6 in
[Phys. Lett. A 373 (2009) 3610] is not complete. Therefore the generalization
of Nielsen's theorem to mixed states still remains an open problem.

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