4 citations · 4 across the 4 of their papers we have counts for
4 papers
-Positivity and high-dimensional bound entanglement under symplectic group symmetries
Sang-Jun Park
We investigate the structure of -positivity and Schmidt numbers for classes of linear maps and bipartite quantum states exhibiting symplectic group symmetries. Specifically, we…
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…
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…
Random covariant quantum channels
Ion Nechita, Sang-Jun Park
The group symmetries inherent in quantum channels often make them tractable and applicable to various problems in quantum information theory. In this paper, we introduce natural pr…