PreprintCC BY-NC-SA 4.0arXiv
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.
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BibTeX
@misc{czech2026group,
title = {{A group theoretic calculation of multi-invariants of some stabilizer states}},
author = {Bartlomiej Czech and Yichen Feng and Jonathan Harper and Xin-Xiang Ju},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27098},
eprint = {2610.27098},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27098},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - A group theoretic calculation of multi-invariants of some stabilizer states
AU - Bartlomiej Czech
AU - Yichen Feng
AU - Jonathan Harper
AU - Xin-Xiang Ju
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.27098
UR - https://arxiv.org/abs/2610.27098
AB - 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.
ER -