Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constant-sized robust self-tests for states and measurements of
  unbounded dimension   We consider correlations, $p_{n,x}$, arising from measuring a maximally
entangled state using $n$ measurements with two outcomes each, constructed from
$n$ projections that add up to $xI$. We show that the correlations $p_{n,x}$
robustly self-test the underlying states and measurements. To achieve this, we
lift the group-theoretic Gowers-Hatami based approach for proving robust
self-tests to a more natural algebraic framework. A key step is to obtain an
analogue of the Gowers-Hatami theorem allowing to perturb an "approximate"
representation of the relevant algebra to an exact one.
  For $n=4$, the correlations $p_{n,x}$ self-test the maximally entangled state
of every odd dimension as well as 2-outcome projective measurements of
arbitrarily high rank. The only other family of constant-sized self-tests for
strategies of unbounded dimension is due to Fu (QIP 2020) who presents such
self-tests for an infinite family of maximally entangled states with even local
dimension. Therefore, we are the first to exhibit a constant-sized self-test
for measurements of unbounded dimension as well as all maximally entangled
states with odd local dimension.

7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom