Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds for Entanglement via an Extension of Strong Subadditivity of
  Entropy   We prove lower bounds for the entanglement of formation and the squashed
entanglement for any a bipartite density matrix in terms of the conditional
entropy of the bipartite state with respect to either of its partial traces,
and prove that these bounds are sharp by constructing a new class of states
whose entanglements can be computed, and for which the bounds are saturated.

27
The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
18
The categories of this paper are: econ