Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entangled graphs II: Classical correlations in multi-qubit entangled
  systems   Bipartite correlations in multi-qubit systems cannot be shared freely. The
presence of entanglement or classical correlation on certain pairs of qubits
may imply correlations on other pairs. We present a method of characterization
of bi-partite correlations in multi-qubit systems using a concept of entangled
graphs that has been introduced in our earlier work [M.Plesch and V.Buzek,
Phys. Rev. A 67, 012322 (2003)]. In entangled graphs each qubit is represented
by a vertex while the entanglement and classical correlations are represented
by two types of edges. We prove by construction that any entangled graph with
classical correlations can be represented by a mixed state of N qubits.
However, not all entangled graphs with classical correlations can be
represented by a pure state.

22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th