Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement Witnesses for Graph States: General Theory and Examples   We present a general theory for the construction of witnesses that detect
genuine multipartite entanglement in graph states. First, we present explicit
witnesses for all graph states of up to six qubits which are better than all
criteria so far. Therefore, lower fidelities are required in experiments that
aim at the preparation of graph states. Building on these results, we develop
analytical methods to construct two different types of entanglement witnesses
for general graph states. For many classes of states, these operators exhibit
white noise tolerances that converge to one when increasing the number of
particles. We illustrate our approach for states such as the linear and the 2D
cluster state. Finally, we study an entanglement monotone motivated by our
approach for graph states.

18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio