Homological analysis of multi-qubit entanglement
We propose the usage of persistent homologies to characterize multipartite entanglement. On a multi-qubit data set we introduce metric-like measures defined only in terms of bipartite entanglement and then we derive barcodes. We show that they are able to provide a good classification of entangled s...
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| Published in | arXiv.org |
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| Main Authors | , , , |
| Format | Paper Journal Article |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
27.08.2018
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| ISSN | 2331-8422 |
| DOI | 10.48550/arxiv.1802.04572 |
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| Abstract | We propose the usage of persistent homologies to characterize multipartite entanglement. On a multi-qubit data set we introduce metric-like measures defined only in terms of bipartite entanglement and then we derive barcodes. We show that they are able to provide a good classification of entangled states, at least for a small number of qubit. |
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| AbstractList | We propose the usage of persistent homologies to characterize multipartite entanglement. On a multi-qubit data set we introduce metric-like measures defined only in terms of bipartite entanglement and then we derive barcodes. We show that they are able to provide a good classification of entangled states, at least for a small number of qubit. EPL, 123 3 (2018) 30006 We propose the usage of persistent homologies to characterize multipartite entanglement. On a multi-qubit data set we introduce metric-like measures defined only in terms of bipartite entanglement and then we derive barcodes. We show that they are able to provide a good classification of entangled states, at least for a small number of qubit. |
| Author | Mancini, Stefano Memarzadeh, Laleh Alessandra Di Pierro Mengoni, Riccardo |
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| BackLink | https://doi.org/10.1209/0295-5075/123/30006$$DView published paper (Access to full text may be restricted) https://doi.org/10.48550/arXiv.1802.04572$$DView paper in arXiv |
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| Copyright | 2018. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
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| DOI | 10.48550/arxiv.1802.04572 |
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| Snippet | We propose the usage of persistent homologies to characterize multipartite entanglement. On a multi-qubit data set we introduce metric-like measures defined... EPL, 123 3 (2018) 30006 We propose the usage of persistent homologies to characterize multipartite entanglement. On a multi-qubit data set we introduce... |
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| Title | Homological analysis of multi-qubit entanglement |
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