Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the connection between Complementarity and Uncertainty Principles in
  the Mach-Zehnder interferometric setting   We revisit, in the framework of Mach-Zehnder interferometry, the connection
between the complementarity and uncertainty principles of quantum mechanics.
Specifically, we show that, for a pair of suitably chosen observables, the
trade-off relation between the complementary path information and fringe
visibility is equivalent to the uncertainty relation given by Schr\"odinger
and Robertson, and to the one provided by Landau and Pollak as well. We also
employ entropic uncertainty relations (based on R\'enyi entropic measures) and
study their meaning for different values of the entropic parameter. We show
that these different values define regimes which yield qualitatively different
information concerning the system, in agreement with findings of [A. Luis,
Phys. Rev. A 84, 034101 (2011)]. We find that there exists a regime for which
the entropic uncertinty relations can be used as criteria to pinpoint non
trivial states of minimum uncertainty.

14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn