Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multigraded Poincare series for mixed states of two qubits and the
  boundary of the set of separable states   Let M be the set of mixed states and S the set of separable states of the
two-qubit system, and G = SU(2) x SU(2) the group of local unitary
transformations (ignoring the overall phase factor). We compute the multigraded
Poincare series for the algebra of G-invariant polynomial functions on the
affine space of all Hermitian operators of trace 1. We check that this series
is consistent with the list of invariants computed by Makhlin. By using the
recent result of Augusiak et al., we show that the boundary of S decomposes
naturally into two pieces. We prove that the part of this boundary which is
contained in the relative interior of M is a smooth manifold.

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The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th