Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-distributed Entanglement in Finitely Correlated Chains   The entanglement-sharing properties of an infinite spin-chain are studied
when the state of the chain is a pure, translation-invariant state with a
matrix-product structure. We study the entanglement properties of such states
by means of their finitely correlated structure. These states are recursively
constructed by means of an auxiliary density matrix \rho on a matrix algebra B
and a completely positive map E: A \otimes B -> B, where A is the spin 2\times
2 matrix algebra. General structural results for the infinite chain are
therefore obtained by explicit calculations in (finite) matrix algebras. In
particular, we study not only the entanglement shared by nearest-neighbours,
but also, differently from previous works, the entanglement shared between
connected regions of the spin-chain. This range of possible applications is
illustrated and the maximal concurrence C=1/\sqrt{2} for the entanglement of
connected regions can actually be reached.

16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys