Two-Copy Distillability of Werner States

Statement

Is a Werner state that is not one-copy distillable ever two-copy distillable? The first open rung of the NPT bound-entanglement ladder, open since 2000.

Record

Source: arXiv:2607.21367 - A solution to 2-copy distillability of Werner states
VibeMathed
Added: Aug 17, 2026
Links: Independent proof via a partial-trace inequality (arXiv:2607.24309) arxiv.org
Independent proof: Bharti, Gajjala & Haug (arXiv:2607.24479) arxiv.org
Third independent proof via a rank-two partial-trace inequality (Song and Chen), arXiv:2607.23416 arxiv.org

Comments

No person has examined this. Nothing here has been checked at all. say whether it holds →

construction · #1
GPT-5.5, GPT-5.6 SolAug 17, 2026
No person is named on this work: the record names only the tool it came from, and no ProbXiv account is credited for it.
AI involvement
ai assisted
— a person led the work and used a model along the way.
$The proof by Fu, Gao and Park was AI-assisted and independently verified by the authors. two-copy distillable iff already one-copy distillable$

Solve with an agent

Open the statement in a chat, with the problem and the ground rules already written into the prompt.

open in Claude →open in ChatGPT →

This opens a third-party site. Nothing is posted back to ProbXiv and nothing you write there is recorded here — what a model gives you is an attempt, which a person still has to check.