Very narrow quantum OBDDs and width hierarchies for classical OBDDs

Farid Ablayev; Aida Gainutdinova; Kamil Khadiev; Abuzer Yakarylmaz

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arXiv · 1405.7849

Very narrow quantum OBDDs and width hierarchies for classical OBDDs

Farid Ablayev·Aida Gainutdinova·Kamil Khadiev·Abuzer Yakarylmaz

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Abstract

We present several results on comparative complexity for different variants of OBDD models. - We present some results on comparative complexity of classical and quantum OBDDs. We consider a partial function depending on parameter k such that for any k > 0 this function is computed by an exact quantum OBDD of width 2 but any classical OBDD (deterministic or stable bounded error probabilistic) needs width 2k+1. - We consider quantum and classical nondeterminism. We show that quantum nondeterminism can be more efficient than classical one. In particular, an explicit function is presented which is computed by a quantum nondeterministic OBDD with constant width but any classical nondeterministic OBDD for this function needs non-constant width. - We also present new hierarchies on widths of deterministic and non-deterministic OBDDs. We focus both on small and large widths.

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BibTeX RIS

Farid Ablayev, Aida Gainutdinova, Kamil Khadiev, Abuzer Yakarylmaz. 2014-05-30. Very narrow quantum OBDDs and width hierarchies for classical OBDDs. https://arxiv.org/abs/1405.7849

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