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TOC
2010
142views Management» more  TOC 2010»
12 years 11 months ago
Decision Trees and Influence: an Inductive Proof of the OSSS Inequality
: 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...
Homin K. Lee
TOC
2010
147views Management» more  TOC 2010»
12 years 11 months ago
Quantum Expanders: Motivation and Construction
: 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,...
Avraham Ben-Aroya, Oded Schwartz, Amnon Ta-Shma
TOC
2010
127views Management» more  TOC 2010»
12 years 11 months ago
The Submodular Welfare Problem with Demand Queries
: 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...
Uriel Feige, Jan Vondrák
TOC
2010
155views Management» more  TOC 2010»
12 years 11 months ago
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
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...
Andris Ambainis
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2010
123views Management» more  TOC 2010»
12 years 11 months ago
Rounds vs. Queries Tradeoff in Noisy Computation
: We show that a noisy parallel decision tree making O(n) queries needs (log n) rounds to compute OR of n bits. This answers a question of Newman [IEEE Conference on Computational ...
Navin Goyal, Michael Saks
TOC
2010
106views Management» more  TOC 2010»
12 years 11 months ago
Separating Deterministic from Randomized Multiparty Communication Complexity
Paul Beame, Matei David, Toniann Pitassi, Philipp ...