Multi-particle Entanglement via Two-Particle Entanglement

Zhou Ling, Yi Xue-Xi, He‐Shan Song +1 more

The thermal entanglement of spin-1 atoms with nonlinear coupling in an optical lattice chain is investigated for two-particle and multi-particle systems. It is found that the relation between linear coupling and nonlinear coupling is the key to determine thermal entanglement, which shows in what kinds of atoms thermal entanglement exists. This result is true both for two-particle and multi-particle systems. For multi-particle systems, the thermal entanglement does not decrease greatly and the critical temperature decreases only slightly.

Dirk Bouwmeester, Jian-Wei Pan, Matthew Daniell +2 more

Klaus Mølmer, Anders Søndberg Sørensen

Gong Ren-shan

The author investigate the purification of entangled two-particle states and entangled three-particle states by entanglement swapping,then populanze it to entangled multi-particle states,and the author find that the totol probability is 2|b|~2 in all kinds of states.In the process,only the unitary transformation and Hadamard transformation are nsed.

H. J. Briegel, S. J. van Enk, J. I. Cirac +9 more

Massimo Blasone A, Fabio Dell’Anno, Silvio De Siena +1 more

The phenomena of particle mixing and flavor oscillations in elementary particle physics are associated with multi-mode entanglement of single-particle states. We show that, in the framework of quantum field theory, these phenomena exhibit a fine structure of quantum correlations, as multi-mode multi-particle entanglement appears. Indeed, the presence of anti-particles adds further degrees of freedom, thus providing nontrivial contributions both to flavor entanglement and, more generally, to multi-partite entanglement. By using the global entanglement measure, based on the linear entropies associated with all the possible bipartitions, we analyze the entanglement in the multiparticle states of two-flavor neutrinos and anti-neutrinos. A direct comparison with the instance of the quantum mechanical Pontecorvo single-particle states is also performed.