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Preprint · arXiv · March 23, 2017

Width Hierarchies for Quantum and Classical Ordered Binary Decision Diagrams with Repeated Test

Kamil Ravilevich Khadiev, Rishat Ibrahimov

Abstract

We consider quantum, nondterministic and probabilistic versions of known computational model Ordered Read-$k$-times Branching Programs or Ordered Binary Decision Diagrams with repeated test ($k$-QOBDD, $k$-NOBDD and $k$-POBDD). We show width hierarchy for complexity classes of Boolean function computed by these models and discuss relation between different variants of $k$-OBDD.

Complexity and Algorithms in Graphssemigroups and automata theoryQuantum Computing Algorithms and Architectureordered binary decision diagramsBoolean function complexitycomplexity classes

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