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

preprint2014arXivOpen access

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 Φ⊗ΦΦ\otimesΦ is given, where ΦΦ is not entanglement binding.

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