论文标题

桥图中的量子最大流

Quantum max-flow in the bridge graph

论文作者

Gesmundo, Fulvio, Lysikov, Vladimir, Steffan, Vincent

论文摘要

量子最大流量量化了固定图和固定键尺寸的张量网络状态的两个区域之间的最大纠缠。在这项工作中,我们在桥接图的情况下精确地计算了量子最大流。结果是通过与前量张量理论的联系和震颤的表示理论来实现的。此外,我们强调了与不变理论和代数统计数据的关系。

The quantum max-flow quantifies the maximal possible entanglement between two regions of a tensor network state for a fixed graph and fixed bond dimensions. In this work, we calculate the quantum max-flow exactly in the case of the bridge graph. The result is achieved by drawing connections to the theory of prehomogenous tensor and the representation theory of quivers. Further, we highlight relations to invariant theory and to algebraic statistics.

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