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quant-ph2026
-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…
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…
quant-ph2024
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…