Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low dimensional bound entanglement with one-way distillable
  cryptographic key   We provide a class of bound entangled states that have positive distillable
secure key rate. The smallest state of this kind is $4 \otimes 4$, which shows
that peculiar security contained in bound entangled states does not need high
dimensional systems. We show, that for these states a positive key rate can be
obtained by {\it one-way} Devetak-Winter protocol. Subsequently the volume of
bound entangled key-distillable states in arbitrary dimension is shown to be
nonzero. We provide a scheme of verification of cryptographic quality of
experimentally prepared state in terms of local observables. Proposed set of 7
collective settings is proven to be optimal in number of settings.

4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg