Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tightening the entropic uncertainty bound in the presence of quantum
  memory   The uncertainty principle is a fundamental principle in quantum physics. It
implies that the measurement outcomes of two incompatible observables can not
be predicted simultaneously. In quantum information theory, this principle can
be expressed in terms of entropic measures. Berta \emph{et al}.
[\href{http://www.nature.com/doifinder/10.1038/nphys1734}{ Nature Phys. 6, 659
(2010) }] have indicated that uncertainty bound can be altered by considering a
particle as a quantum memory correlating with the primary particle. In this
article, we obtain a lower bound for entropic uncertainty in the presence of a
quantum memory by adding an additional term depending on Holevo quantity and
mutual information. We conclude that our lower bound will be tighten with
respect to that of Berta \emph{et al.}, when the accessible information about
measurements outcomes is less than the mutual information of the joint state.
Some examples have been investigated for which our lower bound is tighter than
the Berta's \emph{et al.} lower bound. Using our lower bound, a lower bound for
the entanglement of formation of bipartite quantum states has obtained, as well
as an upper bound for the regularized distillable common randomness.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph