Measuring Entanglement by Exploiting its Anti-symmetric Nature
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913518358364160 |
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| author | Azodi, Peyman Lienhard, Benjamin Rabitz, Herschel A. |
| author_facet | Azodi, Peyman Lienhard, Benjamin Rabitz, Herschel A. |
| contents | Despite significant progress in experimental quantum sciences, measuring entanglement entropy remains challenging. Through a geometric perspective, we reveal the intrinsic anti-symmetric nature of entanglement. We prove that most entanglement measures, such as von Neumann and Renyi entropies, can be expressed in terms of exterior products, which are fundamentally anti-symmetric. Leveraging this, we propose utilizing the anti-symmetric nature of fermions to measure entanglement entropy efficiently, offering a resource-efficient approach to probing bipartite entanglement. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_17236 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measuring Entanglement by Exploiting its Anti-symmetric Nature Azodi, Peyman Lienhard, Benjamin Rabitz, Herschel A. Quantum Physics Soft Condensed Matter Mathematical Physics Despite significant progress in experimental quantum sciences, measuring entanglement entropy remains challenging. Through a geometric perspective, we reveal the intrinsic anti-symmetric nature of entanglement. We prove that most entanglement measures, such as von Neumann and Renyi entropies, can be expressed in terms of exterior products, which are fundamentally anti-symmetric. Leveraging this, we propose utilizing the anti-symmetric nature of fermions to measure entanglement entropy efficiently, offering a resource-efficient approach to probing bipartite entanglement. |
| title | Measuring Entanglement by Exploiting its Anti-symmetric Nature |
| topic | Quantum Physics Soft Condensed Matter Mathematical Physics |
| url | https://arxiv.org/abs/2409.17236 |