Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Number and phase: complementarity and joint measurement uncertainties   We show that number and canonical phase (of a single mode optical field) are
complementary observables. We also bound the measurement uncertainty region for
their approximate joint measurements.

6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas