Monogamy inequalities for the Einstein-Podolsky-Rosen paradox and quantum steering

摘要: Monogamy inequalities for the way bipartite Einstein-Podolsky-Rosen (EPR) steering can be distributed among $N$ systems are derived. One set of is based on witnesses with two measurement settings, and may used to demonstrate correlation outcomes between parties, that cannot shared more parties. It shown monogamy directional. Two parties independently a third system, using same two-setting witness, but it possible one party steer independent systems. This result explains Bell inequality violations sensitivity continuous variable (CV) EPR criterion losses party. We generalize $m$ settings. A second type relation gives quantitative amount sharing possible, when number less than or equal $m$, takes form similar Coffman-Kundu-Wootters entanglement. The results enable characterization tripartite CV Gaussian qubit Greenberger-Horne-Zeilinger $W$ states.