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.

arXiv comment5 pages, 1 figure

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• Quantum key distribution over noisy channels by the testing state method
• Iterative optimization in quantum metrology and entanglement theory using semidefinite programming
• Superior resilience of non-Gaussian entanglement against local Gaussian noises