Genuine Multipartite Entanglement Measure

2022.6.21 14:30 腾讯会议号：672-622-888

Quantifying genuine entanglement is a crucial task in quantum information theory. In this talk, we introduce an approach of constituting genuine m-partite entanglement measures from any bipartite entanglement and any k-partite entanglement measure. In addition, as a complement to the threequbit 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.

Reference: Yu Guo*, Yanping Jia, Xinping Li, Lizhong Huang. Genuine multipartite entanglement measure. Journal of Physics A 55, 145303 (2022).