A one-copy-undistillable NPT state in the canonical DiVincenzo family is two-copy distillable for every local dimension d>=3, disproving the conjecture that the entire one-copy-undistillable region stays undistillable.
A solution to 2-copy distillability of Werner states
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abstract
Entanglement distillation is a fundamental task in quantum information theory. In this work, we prove that Werner states in arbitrary dimension are 2-copy distillable if and only if they are 1-copy distillable. This answers the longstanding open question of the 2-copy distillability of Werner states. This is an important step on determining whether every non-positive partial transpose (NPT) state is distillable, which remains one of the central open problems in the field of entanglement distillation.
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quant-ph 2years
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For three-copy Werner states at the critical noise level, every positive-semidefinite or normal rank-two test operator is shown to satisfy q3(C) >= 0, with the remaining nonnormal case reduced to a crossed-Gram criterion.
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Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension
A one-copy-undistillable NPT state in the canonical DiVincenzo family is two-copy distillable for every local dimension d>=3, disproving the conjecture that the entire one-copy-undistillable region stays undistillable.
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Sharp Plucker Geometry for Three-Copy Werner Distillation
For three-copy Werner states at the critical noise level, every positive-semidefinite or normal rank-two test operator is shown to satisfy q3(C) >= 0, with the remaining nonnormal case reduced to a crossed-Gram criterion.