We show that the parameterized problem Perfect Code belongs to W[1].
This result closes an old open question, because it was often
conjectured that Perfect Code could be a natural problem having
complexity degree intermediate between W[1] and W[2]. This result
also shows W[1]-membership of the parameterized problem Weighted
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We present a fully-polynomial randomized approximation scheme
for computing the permanent of an arbitrary matrix
with non-negative entries.

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While quantum computers might speed up in principle
certain computations dramatically, in pratice, though
quantum computing technology is still in its infancy.
Even we cannot clearly envison at present what the
hardware of that machine will be like.
Nevertheless, we can be quite confident that it will be
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