Measuring Many-Body Entanglement

Karyn Le Hur

Matthew Rispoli, Philipp M. Preiss, Eric Tai +6 more

Rajibul Islam, Ruichao Ma, Philipp M. Preiss +4 more

Chae-Yeun Park, Jaeyoon Cho

While entanglement plays an important role in characterizing quantum many-body systems, it is hardly possible to directly access many-body entanglement in real experiments. In this paper, we study how bipartite entanglement of many-body states is manifested in the correlation of local measurement outcomes. In particular, we consider a measure of correlation defined as the statistical distance between the joint probability distribution of local measurement outcomes and the product of its marginal distributions. Various bounds of this measure are obtained and several examples of many-body states are considered as a testbed for the measure. We also generalize the framework to the case of imprecise measurement and argue that the considered measure is related to the concept of quantum macroscopicity.

Anonymous

Zhiming Rao

In light of quantum theory,we investigate the entanglement properties of two entangled two-level atoms that interact resonantly with a single-mode vacuum field with atomic motion.The results show that if the two atoms are prepared in maximun entangled(EPR)state initially,the maximum of three-body entanglement measure is equated with the perfect three-body W entangled state.The parameter of field-mode structure p influences the time evolution osciuation property of three-body entlinglement measure,with the gradually increasing of p,the average of three-body entanglement measure will gradually decrease,three-body entangled state will tend to disentangled state inch by inch.