每个PPT信道都具有有限的破纠缠指数
Every PPT channel has finite entanglement breaking index
AI总结：
该研究证明所有PPT线性映射有有限破纠缠指数，还得出一类含2-超正映射的PPT映射族破纠缠指数不超3，为PPT-cubed猜想成立提供有力证据。
AI中文摘要：
我们证明了每个PPT线性映射都具有有限的破纠缠指数，从而在完全一般性的情况下确立了PPT信道的最终破纠缠性质。此外，通过利用低纠缠维数的完全正映射，我们表明一个严格包含2-超正映射类的大型PPT映射族，其破纠缠指数由3统一界定，且与维度无关。这些结果为PPT-cubed猜想可能在完全一般性下成立提供了有力证据。
英文摘要：
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.
