Positive maps from the walled Brauer algebra
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Acceso en línea: | |
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| _version_ | 1866914706370854912 |
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| author | Balanzó-Juandó, Maria Studziński, Michał Huber, Felix |
| author_facet | Balanzó-Juandó, Maria Studziński, Michał Huber, Felix |
| contents | We present positive maps and matrix inequalities for variables from the positive cone. These inequalities contain partial transpose and reshuffling operations, and can be understood as positive multilinear maps that are in one-to-one correspondence with elements from the walled Brauer algebra. Using our formalism, these maps can be obtained in a systematic and clear way by manipulating partially transposed permutation operators under a partial trace. Additionally, these maps are reasonably easy in construction by combining an algorithmic approach with graphical calculus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_12738 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Positive maps from the walled Brauer algebra Balanzó-Juandó, Maria Studziński, Michał Huber, Felix Quantum Physics Mathematical Physics We present positive maps and matrix inequalities for variables from the positive cone. These inequalities contain partial transpose and reshuffling operations, and can be understood as positive multilinear maps that are in one-to-one correspondence with elements from the walled Brauer algebra. Using our formalism, these maps can be obtained in a systematic and clear way by manipulating partially transposed permutation operators under a partial trace. Additionally, these maps are reasonably easy in construction by combining an algorithmic approach with graphical calculus. |
| title | Positive maps from the walled Brauer algebra |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2112.12738 |