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arXiv · 2603.09401

On quantum symmetries of graphs

Olha Ostrovska·Vasyl Ostrovskyi·Lyudmila Turowska
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Abstract

Let $G$ be a simple finite graph, and let $\mathcal U_G$ be the related quantum graph. We study the game algebra $C(\mathrm{Qut}(\mathcal U_G))$ of quantum automorphism of $\mathcal U_G$. Moreover, we prove that for any graph $G$ with $|V(G)|\geq 3$, the quantum graph $\mathcal U_G$ admits nonlocal symmetry, meaning that there exists a perfect quantum no-signaling correlation

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Olha Ostrovska, Vasyl Ostrovskyi, Lyudmila Turowska. 2026-03-10. On quantum symmetries of graphs. https://arxiv.org/abs/2603.09401

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