论文标题
全息熵不平等的超级平衡
Superbalance of Holographic Entropy Inequalities
论文作者
论文摘要
熵空间中全息田间理论的允许von Neumann熵的范围雕刻出一个多面体锥体 - 全息熵锥。这种多面体锥的特征是它们的极端射线。对于任意数量的政党，众所周知，所谓的完美张量是极端的射线。在这项工作中，我们通过证明它们对应于几何形式，并在任何两方之间互相信息消失，从而确保它们之间没有铃铛对纠缠，从而限制了其余极端射线的形式。这是证明，除了亚粘附外，所有非冗余全息熵不平等是超级平衡的，即，不仅紫外线分歧在不平等本身中取消（假设平稳的纠缠表面），而且在其纯化中也取消。
The domain of allowed von Neumann entropies of a holographic field theory carves out a polyhedral cone -- the holographic entropy cone -- in entropy space. Such polyhedral cones are characterized by their extreme rays. For an arbitrary number of parties, it is known that the so-called perfect tensors are extreme rays. In this work, we constrain the form of the remaining extreme rays by showing that they correspond to geometries with vanishing mutual information between any two parties, ensuring the absence of Bell pair type entanglement between them. This is tantamount to proving that besides subadditivity, all non-redundant holographic entropy inequalities are superbalanced, i.e. not only do UV divergences cancel in the inequality itself (assuming smooth entangling surfaces), but also in the purification thereof.
