QLunch: Vincent Steffan

Speaker: Vincent Steffan from QMATH

Title: The quantum max-flow in the bridge graph

Abstract: The quantum maxflow 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 for the smallest graph where the quantum max-flow is a non-trivial quantity. By making a connection between the quantum max-flow -- a quantity associated with tensor networks -- and the theory of prehomogenous tensor spaces we are able to calculate for the first time the quantum max-flow precisely for a large family of graphs. This is joint work with Vladimir Lysikov and Fulvio Gesmundo.