Quantum network-entanglement measures
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 thi...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-05-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-05-06-1736/pdf/ |
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| author | Zhen-Peng Xu Julio I. de Vicente Liang-Liang Sun Sixia Yu |
| author_facet | Zhen-Peng Xu Julio I. de Vicente Liang-Liang Sun Sixia Yu |
| author_sort | Zhen-Peng Xu |
| collection | DOAJ |
| description | 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 | Article |
| id | doaj-art-ee82fa4588304f3799f57913711e2e4c |
| institution | Kabale University |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-ee82fa4588304f3799f57913711e2e4c2025-08-20T03:52:15ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-05-019173610.22331/q-2025-05-06-173610.22331/q-2025-05-06-1736Quantum network-entanglement measuresZhen-Peng XuJulio I. de VicenteLiang-Liang SunSixia YuQuantum 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.https://quantum-journal.org/papers/q-2025-05-06-1736/pdf/ |
| spellingShingle | Zhen-Peng Xu Julio I. de Vicente Liang-Liang Sun Sixia Yu Quantum network-entanglement measures Quantum |
| title | Quantum network-entanglement measures |
| title_full | Quantum network-entanglement measures |
| title_fullStr | Quantum network-entanglement measures |
| title_full_unstemmed | Quantum network-entanglement measures |
| title_short | Quantum network-entanglement measures |
| title_sort | quantum network entanglement measures |
| url | https://quantum-journal.org/papers/q-2025-05-06-1736/pdf/ |
| work_keys_str_mv | AT zhenpengxu quantumnetworkentanglementmeasures AT julioidevicente quantumnetworkentanglementmeasures AT liangliangsun quantumnetworkentanglementmeasures AT sixiayu quantumnetworkentanglementmeasures |