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We present an optimal entanglement concentration ECP for an arbitraryless-entangled W state. By two of the parties say Alice and Charlie performingone parity check measurements, they can obtain the maximally entangled W statewith a certain probability. Otherwise, they can obtain another lesser-entangledW state with another probability, which can be used to reconcentrated into amaximally entangled W state. By iterating this ECP several times, it has themaximal success probability. This ECP maybe an optimal one and is useful incurrent quantum information processing.

Efficient entanglement concentration for three-photon W states with parity check measurement