PPT-inducing, distillation-prohibiting, and entanglement-binding quantum channels

Abstract

Entanglement degradation in open quantum systems is reviewed in the Choi-Jamiołkowski representation of linear maps. In addition to physical processes of entanglement dissociation and entanglement annihilation, we consider quantum dynamics transforming arbitrary input states into those that remain positive under partial transpose (PPT-inducing channels). Such evolutions form a convex subset of distillation-prohibiting channels. A relation between the above channels and entanglement-binding ones is clarified. An example of the distillation-prohibiting map $\Phi \otimes \Phi$ is given, where $\Phi$ is not entanglement binding.

5 pages, 1 figure

References in corpus (5)

• Non-Markovian effects on the dynamics of entanglement
• Star products, duality and double Lie algebras
• Entanglement-annihilating and entanglement-breaking channels
• Entanglement sensitivity to signal attenuation and amplification
• Norms and Cones in the Theory of Quantum Entanglement

Cited by in corpus (1)

• Ultimate entanglement robustness of two-qubit states against general local noises