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quant-ph2025
Positive maps and extendibility hierarchies from copositive matrices
Aabhas Gulati, Ion Nechita, Sang-Jun Park
This work introduces and systematically studies a new convex cone of PCOP (pairwise copositive). We establish that this cone is dual to the cone of PCP (pairwise completely positiv…
math.OA2025
Tensor free probability theory: asymptotic tensor freeness and central limit theorem
Ion Nechita, Sang-Jun Park
Voiculescu's notion of asymptotic free independence applies to a wide range of random matrices, including those that are independent and unitarily invariant. In this work, we gener…