We present a realistic purification scheme for pure nonmaximally entangled states. In the scheme, two distant parties Alice and Bob first start with two shared but less entangled photon pairs to produce a conditional four-photon Greenberger-Horne-Zeilinger state, and then perform a 45^∘ polarization measurement onto one of the two photons at each location such that the remaining two photons are projected onto a maximally entangled state.
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Zhao et al. (2001) studied this question.
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