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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2506.21282 |
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| _version_ | 1866915677371105280 |
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| author | Huber, Felix Siewert, Jens |
| author_facet | Huber, Felix Siewert, Jens |
| contents | In a seminal article, Higuchi and Sudbery showed that a pure four-qubit state can not be maximally entangled across every bipartition. Such states are now known as absolutely maximally entangled (AME) states. Here we give a series of old and new proofs of the fact that no four-qubit AME state exists. These are based on invariant theory, methods from coding theory, and basic properties from linear algebra such as the Pauli commutation relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21282 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On two maximally entangled couples Huber, Felix Siewert, Jens Quantum Physics In a seminal article, Higuchi and Sudbery showed that a pure four-qubit state can not be maximally entangled across every bipartition. Such states are now known as absolutely maximally entangled (AME) states. Here we give a series of old and new proofs of the fact that no four-qubit AME state exists. These are based on invariant theory, methods from coding theory, and basic properties from linear algebra such as the Pauli commutation relations. |
| title | On two maximally entangled couples |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.21282 |