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arXiv · 2610.27098

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

Bartlomiej Czech·Yichen Feng·Jonathan Harper·Xin-Xiang Ju
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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.

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Bartlomiej Czech, Yichen Feng, Jonathan Harper, Xin-Xiang Ju. 2026-10-19. A group theoretic calculation of multi-invariants of some stabilizer states. https://arxiv.org/abs/2610.27098

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