Entanglement detection with trace polynomials
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866910335507628032 |
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| author | Rico, Albert Huber, Felix |
| author_facet | Rico, Albert Huber, Felix |
| contents | We provide a systematic method for nonlinear entanglement detection based on trace polynomial inequalities. In particular, this allows to employ multi-partite witnesses for the detection of bipartite states, and vice versa. We identify witnesses for which linear detection of an entangled state fails, but for which nonlinear detection succeeds. With the trace polynomial formulation a great variety of witnesses arise from immamant inequalities, which can be implemented in the laboratory through randomized measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07761 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Entanglement detection with trace polynomials Rico, Albert Huber, Felix Quantum Physics We provide a systematic method for nonlinear entanglement detection based on trace polynomial inequalities. In particular, this allows to employ multi-partite witnesses for the detection of bipartite states, and vice versa. We identify witnesses for which linear detection of an entangled state fails, but for which nonlinear detection succeeds. With the trace polynomial formulation a great variety of witnesses arise from immamant inequalities, which can be implemented in the laboratory through randomized measurements. |
| title | Entanglement detection with trace polynomials |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2303.07761 |