Every PPT channel has finite entanglement-breaking index
Establishes that every PPT channel is eventually entanglement-breaking (finite EB index), in full generality, and bounds the index by 3 uniformly in dimension for a family strictly containing the 2-superpositive maps. The PPT-squared conjecture itself - index at most 2 - remains open; the paper presents its results as strong evidence toward the cubed version.
Exact FrontierDelta
Scope and record
Occurred: Aug 13, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.
Canonical aliases: Every PPT channel has finite entanglement-breaking index · Finite EB index for PPT channels
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Sang-Jun Park
human · human collaborator
ChatGPT-5.6 Sol
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to Sang-Jun Park
This event attributed to ChatGPT-5.6 Sol