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13 years 14 hour ago
2010
Abstract: We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structur...
TOC
13 years 14 hour ago
2010
: We define quantum expanders in a natural way and give two constructions of quantum expanders, both based on classical expander constructions. The first construction is algebraic,...
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13 years 13 hour ago
2010
: We give a simple proof of the OSSS inequality (O'Donnell, Saks, Schramm, Servedio, FOCS 2005). The inequality states that for any decision tree T calculating a Boolean funct...
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13 years 14 hour ago
2010
: We consider the Submodular Welfare Problem where we have m items and n players with given utility functions wi : 2[m] R+. The utility functions are assumed to be monotone and su...
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