Optimal Direct Sum Results for Deterministic and Randomized Decision Tree Complexity

نویسندگان

  • Rahul Jain
  • Hartmut Klauck
  • Miklos Santha
چکیده

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.

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عنوان ژورنال:
  • Inf. Process. Lett.

دوره 110  شماره 

صفحات  -

تاریخ انتشار 2010