On quantum symmetries of graphs
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914428824322048 |
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| author | Ostrovska, Olha Ostrovskyi, Vasyl Turowska, Lyudmila |
| author_facet | Ostrovska, Olha Ostrovskyi, Vasyl Turowska, Lyudmila |
| contents | 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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09401 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On quantum symmetries of graphs Ostrovska, Olha Ostrovskyi, Vasyl Turowska, Lyudmila Operator Algebras 46L67, 47L90, 81P45 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 |
| title | On quantum symmetries of graphs |
| topic | Operator Algebras 46L67, 47L90, 81P45 |
| url | https://arxiv.org/abs/2603.09401 |