Optimal Direct Sum Results for Deterministic and Randomized Decision Tree Complexity
arXiv:1004.0105
Abstract
A Direct Sum Theorem holds in a model of computation, when solving some k input instances together is k times as expensive as solving one. We show that Direct Sum Theorems hold in the models of deterministic and randomized decision trees for all relations. We also note that a near optimal Direct Sum Theorem holds for quantum decision trees for boolean functions.
7 pages