Genuine multipartite entanglement measure
- URL: http://arxiv.org/abs/2108.03638v6
- Date: Fri, 11 Feb 2022 11:22:19 GMT
- Title: Genuine multipartite entanglement measure
- Authors: Yu Guo, Yanping Jia, Xinping Li, and Lizhong Huang
- Abstract summary: We show that the triangle relation is also valid for any continuous entanglement measure and system with any dimension.
For multipartite system that contains more than four parties, there is no symmetric geometric structure as that of tri- and four-partite cases.
- Score: 2.2242717978425257
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: Quantifying genuine entanglement is a crucial task in quantum information
theory.In this work, we give an approach of constituting genuine $m$-partite
entanglement measures from any bipartite entanglement and any $k$-partite
entanglement measure, $3\leq k<m$. In addition, as a complement to the
three-qubit concurrence triangle proposed in [Phys. Rev. Lett., 127, 040403],
we show that the triangle relation is also valid for any continuous
entanglement measure and system with any dimension. We also discuss the
tetrahedron structure for the four-partite system via the triangle relation
associated with tripartite and bipartite entanglement respectively. For
multipartite system that contains more than four parties, there is no symmetric
geometric structure as that of tri- and four-partite cases.
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