Local extensions produce PPT bound entangled states of Schmidt number 3, 4, and 5 in record dimensions 4×5, 7×7, and 9×9.
A decomposition theorem for positive maps, and the projection onto a spin factor
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abstract
It is shown that each positive map between matrix algebras is the sum of a maximal decomposable map and an atomic map which is both optimal and co-optimal. The result is analyzed in detail for the positive projection onto a spin factor.
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Scaling Bound Entanglement through Local Extensions
Local extensions produce PPT bound entangled states of Schmidt number 3, 4, and 5 in record dimensions 4×5, 7×7, and 9×9.