Genuine multipartite entanglement without multipartite correlations
Nonclassical correlations between measurement results are at the heart of quantum mechanics and are, at the same time, the basis for a wealth of quantum information applications. Interestingly, a quantum state can be genuinely n-partite entangled without having n-partite correlations. In this work, we present a general construction principle for such states, implement them in a multiphoton experiment and study their properties in detail. Furthermore, it could be shown that these remarkable states can even violate Bell inequalities which indicates that there is no classical model describing their properties.