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arXiv · 2406.14584

Classifying multiparticle entanglement with passive state energies

Xue Yang·Yan-Han Yang·Xin-Zhu Liu·Shao-Ming Fei·Ming-Xing Luo
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Abstract

Thermodynamics as a fundamental branch of physics examines the relationships between heat, work, and energy. The maximum energy extraction can be characterized by using the passive states that has no extracted energy under any cyclic unitary process. In this paper, we focus on the concept of marginal passive state energy and derive polygon inequalities for multi-qubit entangled pure states. We show that the marginal passive state energies collectively form a convex polytope for each class of quantum states that are equivalent under SLOCC. We finally introduce multipartite passive state energy criteria to classify multipartite entanglement under SLOCC. The present result provides a thermodynamic method to witness multipartite entanglement.

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Xue Yang, Yan-Han Yang, Xin-Zhu Liu, Shao-Ming Fei, Ming-Xing Luo. 2024-06-19. Classifying multiparticle entanglement with passive state energies. https://arxiv.org/abs/2406.14584

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