We show a general W state of N-particle entanglement. Using four pairs of two-particle non-maximally entanglement states, we give a general scheme of probabilistic teleportation of the four-particle general W state by constructing a 5 × 5 projection transformation matrix different from the other references. The general scheme overcomes the difficulty of having to introduce an auxiliary state |0>A in order to get a complex unitary transformation matrix. Thus, we need not perform more operations and measurements than the past researches. We then give a general scheme of the probabilistic teleportation of the N-particle general W state by means of N pairs of general entanglement particles, and the scheme may be applied to all the researches and calculation about the probabilistic teleportation of N-particle entanglement general state by means of N pairs of general entanglement particles, and may simplify their researches, calculation, physical operations and measurements.
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