Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A parallel repetition theorem for entangled two-player one-round games
  under product distributions   We show a parallel repetition theorem for the entangled value $\omega^*(G)$
of any two-player one-round game $G$ where the questions $(x,y) \in
\mathcal{X}\times\mathcal{Y}$ to Alice and Bob are drawn from a product
distribution on $\mathcal{X}\times\mathcal{Y}$. We show that for the $k$-fold
product $G^k$ of the game $G$ (which represents the game $G$ played in parallel
$k$ times independently),
  $ \omega^*(G^k)
=\left(1-(1-\omega^*(G))^3\right)^{\Omega\left(\frac{k}{\log(|\mathcal{A}|
\cdot |\mathcal{B}|)}\right)} $, where $\mathcal{A}$ and $\mathcal{B}$
represent the sets from which the answers of Alice and Bob are drawn.

18
The categories of this paper are: econ
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci