Classifying multiparticle entanglement with passive state energies
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.
Cite
@article{arxiv.2406.14584,
title = {Classifying multiparticle entanglement with passive state energies},
author = {Xue Yang and Yan-Han Yang and Xin-Zhu Liu and Shao-Ming Fei and Ming-Xing Luo},
journal= {arXiv preprint arXiv:2406.14584},
year = {2024}
}
Comments
7 pages. We have corrected the abstract. arXiv admin note: text overlap with arXiv:2406.13319