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We discuss and generalize multi-particle entanglement based on statisticalcorrelations using Ursell-Mayer type of cluster coefficients. Clustercoefficients are used to distinguish different, independent entangled systemsas well as those which are connected through local unitary transformations. Wepropose a genuinely and maximally entangled five-particle state for efficientinformation processing. The physical realization of entangled states andinformation processing protocols are analyzed using quantum gates and circuitdiagrams. We show that the direct as well as controlled communication can beachieved using the state proposed here with certainty in the case ofteleportation and with a high degree of optimity in the case of dense coding.In the case of dense coding the amount of information transferred from thesender to the receiver is always a maximum irrespective of the measurementbasis used by the controller.

Quantum entanglement and generalized information processing using entangled states with odd number of particles