Friday, June 29, 2012

1206.6528 (Aleksandrs Belovs et al.)

Adversary Lower Bound for the k-sum Problem    [PDF]

Aleksandrs Belovs, Robert Spalek
We prove a tight quantum query lower bound $\Omega(n^{k/(k+1)})$ for the problem of deciding whether there exist $k$ numbers among $n$ that sum up to a prescribed number, provided that the alphabet size is sufficiently large. This is an extended and simplified version of an earlier preprint of one of the authors arXiv:1204.5074.
View original: http://arxiv.org/abs/1206.6528

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