Entanglement in continuous-variable systems: recent advances and current perspectives

摘要: We review the theory of continuous-variable entanglement with special emphasis on foundational aspects, conceptual structures and mathematical methods. Much attention is devoted to discussion separability criteria properties Gaussian states, for their great practical relevance in applications quantum optics information, as well very clean framework that they allow study structure nonlocal correlations. give a self-contained introduction phase-space symplectic methods states infinite-dimensional bosonic systems. most important results distillability discuss main bipartite entanglement. These include extremal entanglement, minimal maximal, two-mode mixed ordering according different measures unitary (reversible) localization scaling multimode states. then recent advances understanding sharing including proof monogamy inequality distributed all Multipartite reviewed by discussing its qualification classes separability, consequences inequality, such quantification genuine tripartite three-mode promiscuous nature symmetric possible coexistence unlimited multipartite finally perspectives non-Gaussian field research large extent yet be explored.