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Every PPT channel has finite entanglement breaking index
arXiv
Authors: Sang-Jun Park
Year
2026
Paper ID
74988
Status
Preprint
Abstract Read
~2 min
Abstract Words
78
Citations
N/A
Abstract
We prove that every PPT linear map has finite entanglement breaking index, thereby establishing the eventual entanglement breaking property of PPT channels in full generality. Furthermore, by utilizing completely positive maps with low entanglement dimensionality, we show that a large family of PPT maps, which strictly contains the class of 2-superpositive maps, has entanglement breaking index bounded above by 3, uniformly in the dimension. In particular, these results provide evidence that the PPT-cubed conjecture may hold in full generality.
Why This Paper Matters
- It adds a 2026 reference point for readers tracking recent quantum research.
- We prove that every PPT linear map has finite entanglement breaking index, thereby establishing the eventual entanglement breaking property of PPT channels in full generality.
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