Whether physical realizations of quantum computation models can be built that are sufficiently robust to solve instances not solvable by classical hardware remains an open empirical question
(as an example of an alternative computational paradigm)
A type of computing that uses quantum mechanics (the physics of tiny particles) instead of traditional electronics, allowing certain problems to be solved much faster.
Robust(in the discussion of mathematical properties)
Strong, reliable, and stable—something that doesn't break or change significantly when conditions vary slightly.
empirical question(as used in epistemology)
A question that can be answered by gathering evidence and observing real-world facts, rather than pure reasoning alone.
Nonetheless, \(\mathfrak{P}\) is a useful theoretical model in that it provides a formal medium for implementing procedures which call for certain operations to be carried out simultaneously in parallel. g. , Papadimitriou 1994). But this observation would still be of little practical significance if the algorithms in question achieved such speed up only at the cost of having to employ exponentially many processors relative to the size of their inputs. For in this case it seems that we would hav