Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Univariate Functions for the Hilbert-Schmidt Volumes of the Real and
  Complex Separable Two-Qubit Systems   The (complex) two-qubit systems comprise a 15-dimensional convex set and the
real two-qubit systems, a 9-dimensional convex set. While formulas for the
Hilbert-Schmidt volumes of these two sets are known -- owing to recent
important work of Sommers and Zyczkowski (J. Phys. A {36}, 10115 [2003]) --
formulas have not been so far obtained for the volumes of the separable
subsets. We reduce these two problems to the determination of certain functions
of a single variable.

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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin