Optimal Direct Sum Results for Deterministic and Randomized Decision Tree Complexity

Rahul Jain; Hartmut Klauck; Miklos Santha

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arXiv · 1004.0105

Optimal Direct Sum Results for Deterministic and Randomized Decision Tree Complexity

Rahul Jain·Hartmut Klauck·Miklos Santha

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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.

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BibTeX RIS

Rahul Jain, Hartmut Klauck, Miklos Santha. 2010-04-01. Optimal Direct Sum Results for Deterministic and Randomized Decision Tree Complexity. https://arxiv.org/abs/1004.0105

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