Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower bound of quantum uncertainty from extractable classical
  information   The sum of entropic uncertainties for the measurement of two non-commuting
observables is not always reduced by the amount of entanglement (quantum
memory) between two parties, and in certain cases may be impacted by quantum
correlations beyond entanglement (discord). An optimal lower bound of entropic
uncertainty in the presence of any correlations may be determined by
fine-graining. Here we express the uncertainty relation in a new form where the
maximum possible reduction of uncertainty is shown to be given by the
extractable classical information. We show that the lower bound of uncertainty
matches with that using fine-graining for several examples of two-qubit pure
and mixed entangled states, and also separable states with non-vanishing
discord.
  Using our uncertainty relation we further show that even in the absence of
any quantum correlations between the two parties, the sum of uncertainties may
be reduced with the help of classical correlations.

34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph