Bound entanglement

Does there exist a finite-dimensional bipartite state with non-positive partial transpose (NPT) that is undistillable by local operations and classical communication (LOCC)?

• Quantum Resource Theory
• Entanglement distillation
• Bound entanglement
• Local operations and classical communication

Does every finite-dimensional entangled bipartite state have positive asymptotic distillable secret key?

• Quantum Cryptography
• Quantum Resource Theory
• Secret-key distillation
• Bound entanglement
• Local operations and classical communication