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We construct a set of criteria detecting genuine multipartite entanglement inarbitrary dimensional multipartite systems. These criteria are optimally suitedfor detecting multipartite entanglement in n-qubit Dicke states withm-excitations. In a detailed analysis we show that the criteria are also morerobust to noise than any other criterion known so far, especially withincreasing system size. Furthermore it is shown that the number of requiredlocal observables scales only polynomially with size, thus making the criteriaexperimentally feasible.

Experimentally feasible set of criteria detecting genuine multipartite entanglement in n-qubit Dicke states and in higher dimensional systems