Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-Tangle for Rank-3 Mixed States: mixture of
  Greenberger-Horne-Zeilinger, W and flipped W states   Three-tangle for the rank-three mixture composed of
Greenberger-Horne-Zeilinger, W and flipped W states is analytically calculated.
The optimal decompositions in the full range of parameter space are constructed
by making use of the convex-roof extension. We also provide an analytical
technique, which determines whether or not an arbitrary rank-3 state has
vanishing three-tangle. This technique is developed by making use of the Bloch
sphere S^8 of the qutrit system. The Coffman-Kundu-Wootters inequality is
discussed by computing one-tangle and concurrences. It is shown that the
one-tangle is always larger than the sum of squared concurrences and
three-tangle. The physical implication of three-tangle is briefly discussed.

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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con