Classification of multiqubit mixed states: Separability and distillabilityproperties - art. no. 042314

We give a complete, hierarchic classification for arbitrary multiqubit mixe d states based on the separability properties of certain partitions. We int roduce a family of N-qubit states to which any arbitrary state can be depol arized. This family can be viewed as the generalization of Werner stares to multiqubit systems. We fully classify those states with respect to their s eparability and distillability properties. This provides sufficient conditi ons for nonseparability and distillability for arbitrary states.