Measuring Entanglement in Physical Networks
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913252693245952 |
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| author | Glover, Cory Barabási, Albert-László |
| author_facet | Glover, Cory Barabási, Albert-László |
| contents | The links of a physical network cannot cross, which often forces the network layout into non-optimal entangled states. Here we define a network fabric as a two-dimensional projection of a network and propose the average crossing number as a measure of network entanglement. We analytically derive the dependence of the crossing number on network density, average link length, degree heterogeneity, and community structure and show that the predictions accurately estimate the entanglement of both network models and of real physical networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01328 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measuring Entanglement in Physical Networks Glover, Cory Barabási, Albert-László Disordered Systems and Neural Networks Physics and Society The links of a physical network cannot cross, which often forces the network layout into non-optimal entangled states. Here we define a network fabric as a two-dimensional projection of a network and propose the average crossing number as a measure of network entanglement. We analytically derive the dependence of the crossing number on network density, average link length, degree heterogeneity, and community structure and show that the predictions accurately estimate the entanglement of both network models and of real physical networks. |
| title | Measuring Entanglement in Physical Networks |
| topic | Disordered Systems and Neural Networks Physics and Society |
| url | https://arxiv.org/abs/2403.01328 |