4 problems

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Positive–PPT composition decomposability conjecture
Positive–PPT composition conjecture. The composition
Conjectureopenpositive-maps ppt-entanglement quantum-informationarXiv posted 2 days ago
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PPT squared conjecture
PPT squared conjecture. If the Choi matrices of $\mathcal{L}_1$ and $\mathcal{L}_2$ are PPT, then the Choi matrix of
Conjectureopenppt-entanglement quantum-channels quantum-informationarXiv posted 2 days ago
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PPT squared bound conjecture for antisymmetric states
Antisymmetric-state bound conjecture. The bound $\frac{1}{2r+2}$ cannot be improved. This concerns quantitative lower bounds on the Schmidt number of optimal PPT states and would s…
Conjectureopenppt-entanglement quantum-information schmidt-numberarXiv posted 2 days ago
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Nonmaximal Schmidt number conjecture for PPT-entangled states
Nonmaximal Schmidt number conjecture. The Schmidt number of a PPT-entangled state cannot be maximal.
Conjectureopenppt-entanglement quantum-entanglement schmidt-numberarXiv posted 2 days ago

Positive–PPT composition decomposability conjecture