  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.
