Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom