Can multipartite entanglement be characterized by two-point connected correlation functions ?
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arXiv
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| Hauptverfasser: | , , , , , , , |
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| Format: | Preprint |
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2021
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| _version_ | 1866917851455029248 |
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| author | Lepori, Luca Trombettoni, Andrea Giuliano, Domenico Kombe, Johannes Malo, Jorge Yago Daley, Andrew J. Smerzi, Augusto Chiofalo, Maria Luisa |
| author_facet | Lepori, Luca Trombettoni, Andrea Giuliano, Domenico Kombe, Johannes Malo, Jorge Yago Daley, Andrew J. Smerzi, Augusto Chiofalo, Maria Luisa |
| contents | We discuss under which conditions multipartite entanglement in mixed quantum states can be characterized only in terms of two-point connected correlation functions, as it is the case for pure states. In turn, the latter correlations are defined via a suitable combination of (disconnected) one- and two-point correlation functions. In contrast to the case of pure states, conditions to be satisfied turn out to be rather severe. However, we were able to identify some interesting cases, as when the point-independence is valid of the one-point correlations in each possible decomposition of the density matrix, or when the operators that enter in the correlations are (semi-)positive/negative defined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_03605 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Can multipartite entanglement be characterized by two-point connected correlation functions ? Lepori, Luca Trombettoni, Andrea Giuliano, Domenico Kombe, Johannes Malo, Jorge Yago Daley, Andrew J. Smerzi, Augusto Chiofalo, Maria Luisa Quantum Physics Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics We discuss under which conditions multipartite entanglement in mixed quantum states can be characterized only in terms of two-point connected correlation functions, as it is the case for pure states. In turn, the latter correlations are defined via a suitable combination of (disconnected) one- and two-point correlation functions. In contrast to the case of pure states, conditions to be satisfied turn out to be rather severe. However, we were able to identify some interesting cases, as when the point-independence is valid of the one-point correlations in each possible decomposition of the density matrix, or when the operators that enter in the correlations are (semi-)positive/negative defined. |
| title | Can multipartite entanglement be characterized by two-point connected correlation functions ? |
| topic | Quantum Physics Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2108.03605 |