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PPT-Inducing,Distillation-Prohibiting,and Entanglement-Binding Quantum Channels |
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| Authors: | Sergey N Filippov |
| Institution: | 1. Moscow Institute of Physics and Technology, State University, Institutskii Per. 9, Dolgoprudnyi, Moscow Region, 141700, Russia 2. Institute of Physics and Technology, Russian Academy of Sciences, Nakhimovskii Prospect 34, Moscow, 117218, Russia 3. Russian Quantum Center, Novaya 100, Skolkovo, Moscow Region, 143025, Russia 4. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia |
| Abstract: | We review the entanglement degradation in open quantum systems in the Choi–Jamio?kowski 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. We clarify the relation between the above channels and entanglement-binding channels. We give an example of the distillation-prohibiting map Φ ? Φ, where Φ is not entanglement binding. |
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