Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new device-independent dimension witness and its experimental
  implementation   A dimension witness is a criterion that sets a lower bound on the dimension
needed to reproduce the observed data. Three types of dimension witnesses can
be found in the literature: device-dependent ones, in which the bound is
obtained assuming some knowledge on the state and the measurements;
device-independent prepare-and-measure ones, that can be applied to any system
including classical ones; and device-independent Bell-based ones, that certify
the minimal dimension of some entangled systems. Here we consider the
Collins-Gisin-Linden-Massar-Popescu (CGLMP) Bell-type inequality for four
outcomes. We show that a sufficiently high violation of this inequality
witnesses $d \geq 4$ and present a proof-of-principle experimental observation
of such a violation. This presents a first experimental violation of the third
type of dimension witness beyond qutrits.

33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph