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Preprint · arXiv · March 21, 2017

Exact Affine OBDDs.

Rishat Ibrahimov, Kamil Ravilevich Khadiev, Abuzer Yakaryılmaz

Abstract

We introduce affine OBDD model and we show that exact affine OBDDs can be exponentially narrower than bounded-error quantum and classical OBDDs on some certain problems. Moreover, we consider Las-Vegas quantum and classical automata models and improve the previous gap between deterministic and probabilistic models by a factor of 2 and then follow the same gap for the known most restricted quantum model. Lastly, we follow an exponential gap between exact affine finite automata and Las-Vegas classical and quantum models.

Quantum Computing Algorithms and Architecturesemigroups and automata theoryComplexity and Algorithms in Graphsordered binary decision diagramsexact computationquantum automata

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