PPT诱导、蒸馏禁止和纠缠束缚的量子信道
PPT-inducing, distillation-prohibiting, and entanglement-binding quantum channels
摘要:
在线性映射的Choi-Jamiovskowski表示下,讨论了开放量子系统中的纠缠退化.除了纠缠解离和纠缠湮灭的物理过程,我们考虑量子动力学将任意输入状态转换为部分转置(PPT诱导通道)下保持正值的状态。这样的演变形成了一个凸子集的蒸馏禁止通道。阐明了上述通道与纠缠束缚通道之间的关系。给出了一个禁止蒸馏映射$Φ\otimesΦ$的例子,其中$Φ$不是纠缠束缚.
英文摘要:
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 $Φ\otimesΦ$ is given, where $Φ$ is not entanglement binding.
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