A group theoretic calculation of multi-invariants of some stabilizer states

Abstract

We study multi-invariants---a multi-partite generalization of Renyi entropies---of simple stabilizer states, for an arbitrary replica symmetry group. We develop a group theoretic technique for evaluating such invariants, which operates on the replica group and involves counting intersections among its cosets. Our techniques streamline the calculations of multi-invariants for graph states with two GHZ-like nodes and for certain generalizations thereof. The methodology developed here is most suitable when the quantum state is simple but flexibility over the replica group is desired.

arXiv comment28 pages, 11 figures. v2: references updated