Article ID Journal Published Year Pages File Type
427961 Information Processing Letters 2010 5 Pages PDF
Abstract

A Direct Sum Theorem holds in a model of computation, when for every problem 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.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics