Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Better bounds on optimal measurement and entanglement recovery, with
  applications to uncertainty and monogamy relations   We extend the recent bounds of Sason and Verd\'u relating R\'enyi entropy and
Bayesian hypothesis testing [arXiv:1701.01974] to the quantum domain and show
that they have a number of different applications. First, we obtain a sharper
bound relating the optimal probability of correctly distinguishing elements of
an ensemble of states to that of the pretty good measurement, and an analogous
bound for optimal and pretty good entanglement recovery. Second, we obtain
bounds relating optimal guessing and entanglement recovery to the fidelity of
the state with a product state, which then leads to tight tripartite
uncertainty and monogamy relations.

14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin