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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2311.13945 |
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| _version_ | 1866916720749314048 |
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| author | Xu, Zhen-Peng de Vicente, Julio I. Sun, Liang-Liang Yu, Sixia |
| author_facet | Xu, Zhen-Peng de Vicente, Julio I. Sun, Liang-Liang Yu, Sixia |
| contents | Quantum networks are of high interest nowadays and a quantum internet has been long envisioned. Network-entanglement adapts the notion of entanglement to the network scenario and network-entangled states are considered to be a resource to overcome the limitations of a given network structure. In this work, we introduce measures of quantum network-entanglement that are well-defined within the general framework of quantum resource theories, which at the same time have a clear operational interpretation characterizing the extra resources necessary to prepare a targeted quantum state within a given network. In particular, we define the network communication cost and the network round complexity, which turn out to be intimately related to graph-theoretic parameters. We also provide methods to estimate these measures by introducing novel witnesses of network-entanglement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13945 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum network-entanglement measures Xu, Zhen-Peng de Vicente, Julio I. Sun, Liang-Liang Yu, Sixia Quantum Physics Quantum networks are of high interest nowadays and a quantum internet has been long envisioned. Network-entanglement adapts the notion of entanglement to the network scenario and network-entangled states are considered to be a resource to overcome the limitations of a given network structure. In this work, we introduce measures of quantum network-entanglement that are well-defined within the general framework of quantum resource theories, which at the same time have a clear operational interpretation characterizing the extra resources necessary to prepare a targeted quantum state within a given network. In particular, we define the network communication cost and the network round complexity, which turn out to be intimately related to graph-theoretic parameters. We also provide methods to estimate these measures by introducing novel witnesses of network-entanglement. |
| title | Quantum network-entanglement measures |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2311.13945 |