Two-Copy Distillability of Werner States
Two-copy distillable if and only if already one-copy distillable. Four independent papers settled this within five days of each other, and no single one of them is the account of record. Fu, Gao and Park posted first on 23 July (arXiv:2607.21367), followed by Song and Chen on 26 July (arXiv:2607.23416), then on 27 July both Fraser, Huber, Pozsgay and Vona (arXiv:2607.24309) and Bharti, Gajjala and Haug (arXiv:2607.24479). The headline axes here follow the first posting, which is a filing convention and not a claim about who solved it. Pozsgay has stated publicly that his group had their AI-assisted proof before the first paper appeared. This site cannot verify a private completion date, so that is recorded as his account rather than as a finding. All four are linked below.
Exact FrontierDelta
Scope and record
Occurred: Jul 23, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. Editorial metadata: CC BY 4.0; linked content retains its own rights.
Canonical aliases: Two-Copy Distillability of Werner States · Werner 2-copy
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
GPT-5.5
model · ai model contributor · OpenAI
GPT-5.6 Sol
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to GPT-5.5
This event attributed to GPT-5.6 Sol
VibeMathed record: Two-Copy Distillability of Werner States evidence for this event
Two-copy distillable if and only if already one-copy distillable. Four independent papers settled this within five days of each other, and no single one of them is the account of record. Fu, Gao and Park posted first on 23 July (arXiv:2607.21367), followed by Song and Chen on 26 July (arXiv:2607.23416), then on 27 July both Fraser, Huber, Pozsgay and Vona (arXiv:2607.24309) and Bharti, Gajjala and Haug (arXiv:2607.24479). The headline axes here follow the first posting, which is a filing convention and not a claim about who solved it. Pozsgay has stated publicly that his group had their AI-assisted proof before the first paper appeared. This site cannot verify a private completion date, so that is recorded as his account rather than as a finding. All four are linked below. parent of this event
Bharti, Gajjala and Haug - sharp partial-trace inequalities (27 Jul) evidence for this event
Two-Copy Distillability of Werner States parent of this event
Song and Chen - A partial-trace matrix inequality and Werner-state distillability (26 Jul) evidence for this event
Two-Copy Distillability of Werner States evidence for this event
Fraser, Huber, Pozsgay and Vona - two-copy distillability and a new partial trace bound (27 Jul) evidence for this event
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