Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Privacy Amplification, Private States, and the Uncertainty Principle   We show that three principle means of treating privacy amplification in
quantum key distribution, private state distillation, classical privacy
amplification, and via the uncertainty principle, are equivalent and
interchangeable. By adapting the security proof based on the uncertainty
principle, we construct a new protocol for private state distillation which we
prove is identical to standard classical privacy amplification. Underlying this
approach is a new characterization of private states, related to their standard
formulation by the uncertainty principle, which gives a more physical
understanding of security in quantum key distribution.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th