Quantum fractional revival on unitary Cayley graphs over finite commutative rings
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909989621202944 |
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| author | Jitngam, Saowalak Kumam, Poom Sriwongsa, Songpon |
| author_facet | Jitngam, Saowalak Kumam, Poom Sriwongsa, Songpon |
| contents | In this paper, we investigate the existence of quantum fractional revival in unitary Cayley graphs over finite commutative rings with identity. We characterize all finite local rings that permit quantum fractional revival in their unitary Cayley graphs. Additionally, we present results for the case of finite commutative rings, as they can be expressed as products of finite local rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03644 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum fractional revival on unitary Cayley graphs over finite commutative rings Jitngam, Saowalak Kumam, Poom Sriwongsa, Songpon Rings and Algebras Combinatorics 05C50, 15A18 In this paper, we investigate the existence of quantum fractional revival in unitary Cayley graphs over finite commutative rings with identity. We characterize all finite local rings that permit quantum fractional revival in their unitary Cayley graphs. Additionally, we present results for the case of finite commutative rings, as they can be expressed as products of finite local rings. |
| title | Quantum fractional revival on unitary Cayley graphs over finite commutative rings |
| topic | Rings and Algebras Combinatorics 05C50, 15A18 |
| url | https://arxiv.org/abs/2504.03644 |