Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Experimental weak measurement of two non-commuting observables   The fact that not all quantum observables are jointly measurable is one of
the major differences between quantum and classical theory. In the former,
non-commuting observables can only be simultaneously measured with limited
precision. We report on an experimental implementation of such a simultaneous
measurement of two non-commuting observables based on the framework of weak von
Neumann measurements. We use a photonic setup where the polarisation degree of
freedom acts as the system and the two components of the transversal position
correspond to the pointers of the measurement apparatuses. In addition, the
theory shows that these weak measurements demonstrate a counter-intuitive
non-monotonicity: weaker measurements can potentially reveal more information
than stronger ones.

33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con