Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.27098

Authors: Czech, Bartlomiej, Feng, Yichen, Harper, Jonathan, Ju, Xin-Xiang

Institutions: Tsinghua University, University of Chinese Academy of Sciences

Language: English

Topic: Quantum Information and Cryptography

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Aspen Center for Physics, Ministry of Education, Culture, Sports, Science and Technology, National Natural Science Foundation of China, Tsinghua University, Japan Society for the Promotion of Science

Awards: G1105538003, G1418984100, G8255059130

OpenAlex ID: W7223154141

Cites: 32

Cited by: 1

Related to: 10