Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditions for an experimental Boson-sampling computer to disprove the
  Extended Church-Turing thesis   We give a set of sufficient conditions on the experimental Boson-Sampling
computer to satisfy Theorem 1.3 of Aaronson & Arkhipov (Theory of Computing
\textbf{9}, 143 (2013)) stating a computational problem whose simulation on a
classical computer would collapse the polynomial hierarchy of the computational
complexity to the third level. This implies that such an experimental device is
in conflict with the Extended Church-Turing thesis. In practical terms, we give
a set of sufficient conditions for the scalability of the experimental
Boson-Sampling computer beyond the power of the classical computers. The
derived conditions can be also used for devising efficient verification tests
of the Boson-Sampling computer.

7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph