The need for structure in quantum speedups

Is there a general theorem that tells us when we can hope for exponential speedups from quantum algorithms, and when we cannot? In this paper, we make two advances toward such a theorem, in the black-box model where most quantum algorithms operate. First, we show that for any problem that is invaria...

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Bibliographic Details
Main Authors: Aaronson, Scott (Contributor), Ambainis, Andris (Author)
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory (Contributor)
Format: Article
Language:English
Published: Electronic Colloquium on Computational Complexity, 2012-08-08T21:01:16Z.
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