Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-Qubit Separabilities as Piecewise Continuous Functions of Maximal
  Concurrence. II--The Relevance of Dyson Indices   We importantly amend a certain parenthetical remark made in Part I
(arXiv:0806.3294), to the effect that although two-qubit
diagonal-entry-parameterized separability functions had been shown
(arXiv:0704.3723) to clearly conform to a pattern dictated by the "Dyson
indices" (beta = 1 [real], 2 [complex], 4 [quaternionic]) of random matrix
theory, this did not appear to be the case with regard to
eigenvalue-parameterized separability functions (ESFs). But upon further
examination of the extensive numerical analyses reported in Part I, we find
quite convincing evidence that adherence to the Dyson-index pattern does also
hold for ESFs, at least as regards the upper half-range 1/2 <= C <= 1 of the
maximal concurrence over spectral orbits, C. To be specific, it strongly
appears that in this upper half-range, the real two-qubit ESF is simply
proportional to (2-2 C)^(3/2), and its complex counterpart--in conformity to
the Dyson-index pattern--proportional to the square of the real ESF, that is,
(2-2 C)^3. The previously documented piecewise continuous ("semilinear")
behavior in the lower half-range still appears, however, to lack any particular
Dyson-index-related interpretation.

32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin