Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Experimental test of Heisenberg's measurement uncertainty relation based
  on statistical distances   Incompatible observables can be approximated by compatible observables in
joint measurement or measured sequentially, with constrained accuracy as
implied by Heisenberg's original formulation of the uncertainty principle.
Recently, Busch, Lahti, and Werner proposed inaccuracy trade-off relations
based on statistical distances between probability distributions of measurement
outcomes [Phys. Rev. Lett. 111, 160405 (2013); Phys. Rev. A 89, 012129 (2014)].
Here we reform their theoretical framework, derive an improved relation for
qubit measurement, and perform an experimental test on a spin system. The
relation reveals that the worst-case inaccuracy is tightly bounded from below
by the incompatibility of target observables, and is verified by the experiment
employing joint measurement in which two compatible but typically
non-commutative observables on one qubit are measured simultaneously.

26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph