Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An improved semidefinite programming hierarchy for testing entanglement   We present a stronger version of the Doherty-Parrilo-Spedalieri (DPS)
hierarchy of approximations for the set of separable states. Unlike DPS, our
hierarchy converges exactly at a finite number of rounds for any fixed input
dimension. This yields an algorithm for separability testing which is singly
exponential in dimension and polylogarithmic in accuracy. Our analysis makes
use of tools from algebraic geometry, but our algorithm is elementary and
differs from DPS only by one simple additional collection of constraints.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con