Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Is macroscopic entanglement a typical trait of many-particle quantum
  states?   We elucidate the relationship between Schr\"odinger-cat-like macroscopicity
and geometric entanglement, and argue that these quantities are not
interchangeable. While both properties are lost due to decoherence, we show
that macroscopicity is rare in uniform and in so-called random physical
ensembles of pure quantum states, despite possibly large geometric
entanglement. In contrast, permutation-symmetric pure states feature rather low
geometric entanglement and strong and robust macroscopicity.

8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci