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One-step error correction for multipartite polarization entanglement
We present two economical one-step error-correction protocols for
multipartite polarization-entangled systems in a Greenberger-Horne-Zeilinger
state. One uses spatial entanglement to correct errors in the polarization
entanglement of an N-photon system, resorting to linear optical elements. The
other uses frequency entanglement to correct errors in the polarization
entanglement of an N-photon system. The parties in quantum communication can
obtain a maximally entangled state from each N-photon system transmitted with
one step in these two protocols, and both of their success probabilities are
100%, in principle. That is, they both work in a deterministic way, and they do
not largely consume the less-entangled photon systems, which is far different
from conventional multipartite entanglement purification schemes. These
features may make these two protocols more useful for practical applications in
long-distance quantum communication.Comment: 8 pages, 2 figure
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