Geometric genuine N-partite entanglement measure for arbitrary dimensions

• URL: http://arxiv.org/abs/2408.14011v1
• Date: Mon, 26 Aug 2024 04:33:02 GMT
• Title: Geometric genuine N-partite entanglement measure for arbitrary dimensions
• Authors: Hui Zhao, Pan-Wen Ma, Shao-Ming Fei, Zhi-Xi Wang,
• Abstract summary: We first derive the GME measure of four-partite quantum systems. Then we study the GME measure for multipartite quantum states in arbitrary dimensions.
• Score: 1.3605831185375463
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present proper genuine multipartite entanglement (GME) measures for arbitrary multipartite and dimensional systems. By using the volume of concurrence regular polygonal pyramid we first derive the GME measure of four-partite quantum systems. From our measure it is verified that the GHZ state is more entangled than the W state. Then we study the GME measure for multipartite quantum states in arbitrary dimensions. A well defined GME measure is constructed based on the volume of the concurrence regular polygonal pyramid. Detailed example shows that our measure can characterize better the genuine multipartite entanglements.

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