Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong Majorization Entropic Uncertainty Relations   We analyze entropic uncertainty relations in a finite dimensional Hilbert
space and derive several strong bounds for the sum of two entropies obtained in
projective measurements with respect to any two orthogonal bases. We improve
the recent bounds by Coles and Piani, which are known to be stronger than the
well known result of Maassen and Uffink. Furthermore, we find a novel bound
based on majorization techniques, which also happens to be stronger than the
recent results involving largest singular values of submatrices of the unitary
matrix connecting both bases. The first set of new bounds give better results
for unitary matrices close to the Fourier matrix, while the second one provides
a significant improvement in the opposite sectors. Some results derived admit
generalization to arbitrary mixed states, so that corresponding bounds are
increased by the von Neumann entropy of the measured state. The majorization
approach is finally extended to the case of several measurements.

8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs