Very narrow quantum OBDDs and width hierarchies for classical OBDDs
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.
Keywords
Cite
@article{arxiv.1405.7849,
title = {Very narrow quantum OBDDs and width hierarchies for classical OBDDs},
author = {Farid Ablayev and Aida Gainutdinova and Kamil Khadiev and Abuzer Yakarylmaz},
journal= {arXiv preprint arXiv:1405.7849},
year = {2016}
}