论文标题
不对称资源理论中的超密集编码
Superdense Coding in Resource Theory of Asymmetry
论文作者
论文摘要
我们考虑一项任务，其中经典信息通过对称性限制的操作编码为量子系统。可以在此限制下编码的最大经典信息，即对称限制的经典信息能力，取决于系统的初始状态。我们的重点是不对称状态的能力是否严格大于任何对称状态的能力，而后者是严格的正常常数。也就是说，我们询问超密集编码的类似物是否可以在不对称的资源理论中实现。我们证明，当且仅当对称的统一表示是非 - 亚伯利亚且可还原时，就可以实现超密集编码。因此，我们提供了量子系统对称性的信息理论分类。
We consider a task in which classical information is encoded into a quantum system by an operation restricted by symmetry. The maximum amount of classical information that can be encoded under this restriction, namely the symmetry-restricted classical information capacity, depends on the initial state of the system. Our focus is on whether the capacity of an asymmetric state can be strictly larger than that of any symmetric states, whereas the latter is a strictly positive constant. That is, we ask whether an analog of superdense coding is implementable in the resource theory of asymmetry. We prove that superdense coding is implementable if and only if the unitary representation of the symmetry is non-Abelian and reducible. Thereby we provide an information theoretical classification of symmetries of quantum systems.
