Multiparticle entanglement classification with ergotropic gap

• URL: http://arxiv.org/abs/2406.13319v1
• Date: Wed, 19 Jun 2024 08:13:08 GMT
• Title: Multiparticle entanglement classification with ergotropic gap
• Authors: Xue Yang, Yan-Han Yang, Shao-Ming Fei, Ming-Xing Luo,
• Abstract summary: The presence of quantum multipartite entanglement implies the existence of a thermodynamic quantity known as the ergotropic gap. We show that all the marginal ergotropic gaps form a convex polytope for each class of quantum states that are equivalent under local operations and classical communication.
• Score: 4.485833881424715
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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