Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of three qubit genuine entanglement with bi-partite
  positive partial transposes   We construct tri-qubit genuinely entangled states which have positive partial
transposes with respect to bi-partition of systems. These examples disprove a
conjecture [L. Novo, T. Moroder and O. G\" uhne, Phys.Rev.A {88}, 012305
(2013)] which claims that PPT mixtures are necessary and sufficient for
biseparability of three qubits.

29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con