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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2603.13442 |
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| _version_ | 1866908906520838144 |
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| author | Cha, Hyunho |
| author_facet | Cha, Hyunho |
| contents | We prove a general reduction theorem for stabilizer absolutely maximally entangled states in composite local dimension. If a stabilizer $\mathrm{AME}(n,D)$ state exists and $D=\prod_{i=1}^m q_i$ is the prime-power factorization of $D$, then for every nonempty subset of factors there exists a stabilizer $\mathrm{AME}\bigl(n,\prod_{i\in M} q_i\bigr)$ state. Thus any obstruction at a prime-power factor immediately obstructs stabilizer AME states in the composite dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_13442 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-existence of stabilizer absolutely maximally entangled states across infinitely many configurations Cha, Hyunho Quantum Physics We prove a general reduction theorem for stabilizer absolutely maximally entangled states in composite local dimension. If a stabilizer $\mathrm{AME}(n,D)$ state exists and $D=\prod_{i=1}^m q_i$ is the prime-power factorization of $D$, then for every nonempty subset of factors there exists a stabilizer $\mathrm{AME}\bigl(n,\prod_{i\in M} q_i\bigr)$ state. Thus any obstruction at a prime-power factor immediately obstructs stabilizer AME states in the composite dimension. |
| title | Non-existence of stabilizer absolutely maximally entangled states across infinitely many configurations |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.13442 |