Multiparticle entanglement classification with ergotropic gap
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914846618943488 |
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| author | Yang, Xue Yang, Yan-Han Fei, Shao-Ming Luo, Ming-Xing |
| author_facet | Yang, Xue Yang, Yan-Han Fei, Shao-Ming Luo, Ming-Xing |
| contents | The presence of quantum multipartite entanglement implies the existence of a thermodynamic quantity known as the ergotropic gap, which is defined as the difference between the maximal global and local extractable works from the system. We establish a direct relation between the geometric measure of entanglement and the ergotropic gaps. We show that all the marginal ergotropic gaps form a convex polytope for each class of quantum states that are equivalent under stochastic local operations and classical communication (SLOCC). We finally introduce the concept of multipartite ergotropic gap indicators and use them to present a refined criterion for classifying entanglement under SLOCC. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13319 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiparticle entanglement classification with ergotropic gap Yang, Xue Yang, Yan-Han Fei, Shao-Ming Luo, Ming-Xing Quantum Physics The presence of quantum multipartite entanglement implies the existence of a thermodynamic quantity known as the ergotropic gap, which is defined as the difference between the maximal global and local extractable works from the system. We establish a direct relation between the geometric measure of entanglement and the ergotropic gaps. We show that all the marginal ergotropic gaps form a convex polytope for each class of quantum states that are equivalent under stochastic local operations and classical communication (SLOCC). We finally introduce the concept of multipartite ergotropic gap indicators and use them to present a refined criterion for classifying entanglement under SLOCC. |
| title | Multiparticle entanglement classification with ergotropic gap |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2406.13319 |