Partial K-way negativities of pure four-qubit entangled states

It was shown by Verstraete [Phys. Rev. A 65, 052112 (2002)] that by stochastic local operations and classical communication, a pure state of four qubits can be transformed to a state belonging to one of a set of nine families of states. By using selective partial transposition, we construct partial K-way negativities to measure the genuine four-partite, tripartite, and bipartite entanglements of single-copy states belonging to the nine families of four-qubit states. Partial K-way negativities are polynomial functions of local invariants characterizing each family of states, as such, entanglement monotones.