A solution to 2-copy distillability of Werner states

2026/07/23 by Jinshi Fu, Li Gao, Sang-Jun Park · 2 voices · 2 citations
#quant-ph #math-ph #math.MP #math.OA

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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.

Citations

• Quantum entanglement

Cited by

• Two-copy nondistillability of Werner states: sharp partial-trace inequalities and finite-copy extensions
• A partial-trace matrix inequality and Werner-state distillability

Discussions

• Sol did a breakthrough again get used to seeing attributions like this 1st group: unknown AI status arxiv.org/abs/2607.213... 2nd group: Sol arxiv.org/abs/2607.21367 this group: Sol (paper unavailable [bsky, 84 points, 4 comments]
• The problem of 2-copy distillability of Werner states was claimed by these 3 different teams: 1) arxiv.org/abs/2607.21367 2) arxiv.org/abs/2607.23416 3) arxiv.org/abs/2607.24309 4) arxiv.org/abs/2607. [bsky, 2 points, 1 comments]

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• On the two-copy distillability of Werner states and a new partial trace inequality
• On the distillablity conjecture in matrix theory
• New Partial Trace Inequalities and Distillability of Werner States
• A partial-trace matrix inequality and Werner-state distillability
• Two-copy nondistillability of Werner states: sharp partial-trace inequalities and finite-copy extensions