Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Randomness extraction via a quantum generalization of the conditional
  collision entropy   Randomness extraction against side information is the art of distilling from
a given source a key which is almost uniform conditioned on the side
information. This paper provides randomness extraction against quantum side
information whose extractable key length is given by a quantum generalization
of the collision entropy, which is smoothed and conditioned differently from
how this is done in existing schemes. Based on the fact that the collision
entropy is not subadditive, its optimization with respect to additional side
information is introduced, and is shown to be asymptotically optimal. The lower
bound derived there for general states is expressed as the difference between
two unconditional entropies and its evaluation reduces to an eigenvalue problem
of two states, which are the entire state and the marginal state of side
information.

3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol