Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Separability of mixed quantum states: linear contractions approach   Recently, a new and powerful separability criterion was introduced in [O.
Rudolph, quant-ph/0202121] and [Chen {\it et al.}, quant-ph/0205017]. Composing
the main idea behind the above criterion and the necessary and sufficient
condition in terms of positive maps, we provide a characterization of separable
states by means of linear contractions. The latter need not be positive maps.
We extend the idea to multipartite systems, and find that, somewhat
suprisingly, partial realigment (unlike partial transposition) can detect
genuinely triparite entanglement. We also show that for multipartite system any
permutation of indices of density matrix leads to separability criterion.

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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
2
The categories of this paper are: math