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

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.

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