Quantum max-flow in the bridge graph
Quantum Physics
2024-11-08 v1 Algebraic Geometry
Representation Theory
Abstract
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.
Cite
@article{arxiv.2212.09794,
title = {Quantum max-flow in the bridge graph},
author = {Fulvio Gesmundo and Vladimir Lysikov and Vincent Steffan},
journal= {arXiv preprint arXiv:2212.09794},
year = {2024}
}
Comments
26 pages, comments welcome