to reach a common decision. Classically, there is a bound in the number of possible traitors that can be involved in the game if only classical secure channels are used. In the simplest case where three parties are involved, one of them being a traitor, no classical solution exists. Nevertheless, a quantum solution exist, i.e. letting a traitor being involved and using as a fundamental resource multipartite entanglement it is permitted to reach a common agreement. We demonstrate that detectable broadcast is also solvable within Continuous Variable using multipartite entangled Gaussian states and Gaussian operations (homodyne detection). Furthermore, we show under which premises concerning entanglement content of the state, noise, inefficient homodyne detectors, our protocol is efficient and applicable with present technology. Our results are reported in [2].In chapter 5, we move to the problem of quantification of correlations (quantum and/or classical) between two Continuous Variable modes. We propose to define correlations between the two modes as the maximal number of correlated bits extracted via local quadrature measurements on each mode. On Gaussian states, where entanglement is accessible via their covariance matrix our quantification majorizes entanglement, reducing to an entanglement monotone for pure states. For mixed Gaussian states we provide an operational receipt to quantify explicitly the classical correlations presents in the states. We then address non-Gaussian states with our operational quantification that is based on and up to second moments only in contrast to the exact detection of entanglement that generally involves measurements of high-order moments. For non-Gaussian states, such as photonic Bell states, photon subtracted states and mixtures of Gaussian states, the bit quadrature correlations are shown to be also a monotonic function of the negativity. This quantification yields a feasible, operational way to measure non-Gaussian entanglement in current experiments by means of direct homodyne detection, without needing a complete state tomography. Our analysis demonstrates the rather surprising feature that entanglement in the considered non-Guassian examples can thus be detected and experimentally quantified with the same complexity as if dealing with Gaussian states. Our results are reported in [3].In chapter 6, we focus to atomic ensembles described as CV systems. Entanglement between distant mesoscopic atomic ensembles can be induced by measuring an ancillary light system. We show how to generate, manipulate and detect mesoscopic entanglement between an arbitrary number of atomic samples through a quantum non-demolition matter-light interface. Measurement induced entanglement between two macroscopical atomic samples was reported experimentally in 2001. There, the interaction between a single laser pulse propagating through two spatially separated atomic samples combined with a final projective measurement on the light led to the creation of pure EPR entanglement between the two sample...