论文标题
量子超通道的公理方法
Axiomatic Approach to Quantum Superchannels
论文作者
论文摘要
量子超通道是地图，其输入和输出是量子通道。而是将域成为所有线性图的空间，而是激励并定义了由量子通道跨越的操作员系统上的超通道。完全正面地图的扩展定理使我们能够将超级通道的表征定理应用于这组较小的地图。这些扩展是非唯一的，显示了两个不同的超级通道在所有输入量子通道上都相同，因此，对较小域的新定义更精确地捕获了超级通道的作用，因为量子通道之间的转换。非唯一性可能会影响表征所需的辅助维度以及超通道的张量产物。
Quantum superchannels are maps whose input and output are quantum channels. Rather than taking the domain to be the space of all linear maps we motivate and define superchannels on the operator system spanned by quantum channels. Extension theorems for completely positive maps allow us to apply the characterisation theorem for superchannels to this smaller set of maps. These extensions are non unique, showing two different superchannels act the same on all input quantum channels, and so this new definition on the smaller domain captures more precisely the action of superchannels as transformations between quantum channels. The non uniqueness can affect the auxilliary dimension needed for the characterisation as well as the tensor product of the superchannels.
