Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Quantum Foundations

k-Uniform complete hypergraph states stabilizers in terms of local operators

arXiv

Authors: Gabriel M. Arantes, Vinícius Salem, Danilo Cius, Bárbara Amaral

Year

2025

Paper ID

16903

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

In this work, we present a novel method to express the stabilizer of a k-uniform complete hypergraph state as a linear combination of local operators. Quantum hypergraph states generalize graph states and exhibit properties that are not shared by their graph counterparts, most notably, their stabilizers are intrinsically nonlocal, as hyperedges can involve arbitrary subsets of vertices. Our formulation provides an explicit description of the stabilizers for k-uniform complete hypergraphs and may offer new insights for exploring these states within the stabilizer formalism. In particular, this approach could facilitate the construction of new Bell inequalities or find applications in quantum error correction.

Why This Paper Matters

This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
It adds a 2025 reference point for readers tracking recent quantum research.
In this work, we present a novel method to express the stabilizer of a k-uniform complete hypergraph state as a linear combination of local operators.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in

Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.15911 [2] arXiv https://arxiv.org/abs/2511.15911 [3] Publisher https://arxiv.org/abs/2511.15911

Local Citation Graph (Related-Paper Links)

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0

Likes: 0 Dislikes: 0

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.