Graph restricted tensors: building blocks for holographic networks
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866918514114166784 |
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| author | Bistroń, Rafaĺ Mestyán, Márton Pozsgay, Balázs Życzkowski, Karol |
| author_facet | Bistroń, Rafaĺ Mestyán, Márton Pozsgay, Balázs Życzkowski, Karol |
| contents | We analyze few-body quantum states with particular correlation properties imposed by the requirement of maximal bipartite entanglement for selected partitions of the system into two complementary parts. A novel framework to treat this problem by encoding these constraints in a graph is advocated; the resulting objects are called ``graph-restricted tensors''. This framework encompasses several examples previously treated in the literature, such as 1-uniform multipartite states, quantum states related to dual unitary operators and absolutely maximally entangled states (AME) corresponding to 2-unitary matrices. Original examples of presented graph-restricted tensors are motivated by tensor network models for the holographic principle. In concrete cases we find exact analytic solutions, demonstrating thereby that there exists a vast landscape of non-stabilizer tensors useful for the lattice models of holography. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23005 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Graph restricted tensors: building blocks for holographic networks Bistroń, Rafaĺ Mestyán, Márton Pozsgay, Balázs Życzkowski, Karol Quantum Physics High Energy Physics - Theory We analyze few-body quantum states with particular correlation properties imposed by the requirement of maximal bipartite entanglement for selected partitions of the system into two complementary parts. A novel framework to treat this problem by encoding these constraints in a graph is advocated; the resulting objects are called ``graph-restricted tensors''. This framework encompasses several examples previously treated in the literature, such as 1-uniform multipartite states, quantum states related to dual unitary operators and absolutely maximally entangled states (AME) corresponding to 2-unitary matrices. Original examples of presented graph-restricted tensors are motivated by tensor network models for the holographic principle. In concrete cases we find exact analytic solutions, demonstrating thereby that there exists a vast landscape of non-stabilizer tensors useful for the lattice models of holography. |
| title | Graph restricted tensors: building blocks for holographic networks |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.23005 |