Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropic uncertainty relations and the measurement range problem, with
  consequences for high-dimensional quantum key distribution   The measurement range problem, where one cannot determine the data outside
the range of the detector, limits the characterization of entanglement in
high-dimensional quantum systems when employing, among other tools from
information theory, the entropic uncertainty relations. Practically, the
measurement range problem weakens the security of entanglement-based
large-alphabet quantum key distribution (QKD) employing degrees of freedom
including time-frequency or electric field quadrature. We present a modified
entropic uncertainty relation that circumvents the measurement range problem
under certain conditions, and apply it to well-known QKD protocols. For
time-frequency QKD, although our bound is an improvement, we find that high
channel loss poses a problem for its feasibility. In continuous variable QKD,
we find our bound provides a quantitative way to monitor for saturation
attacks.

7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom