Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tightening Time-Energy Uncertainty Relations   The uncertainty principle is a cornerstone of modern physics, and its
implications have a fundamental impact on theoretical and applied quantum
mechanics. The aim of this thesis is to study and apply the uncertainty
relations between time and energy, which are interpreted operationally as the
speed limit of quantum evolution. A geometric approach is used to derive
improved bounds for the evolution of isolated and open systems and obtain a
constructive approach for efficient and fast quantum driving. These results are
applied to set the limits for the rate of information transfer and processing,
and the power of nanomachines.

4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs