Affine computation and affine automaton
Formal Languages and Automata Theory
2016-06-07 v2 Computational Complexity
Quantum Physics
Abstract
We introduce a quantum-like classical computational model, called affine computation, as a generalization of probabilistic computation. After giving the basics of affine computation, we define affine finite automata (AfA) and compare it with quantum and probabilistic finite automata (QFA and PFA, respectively) with respect to three basic language recognition modes. We show that, in the cases of bounded and unbounded error, AfAs are more powerful than QFAs and PFAs, and, in the case of nondeterministic computation, AfAs are more powerful than PFAs but equivalent to QFAs.
Cite
@article{arxiv.1602.04732,
title = {Affine computation and affine automaton},
author = {Alejandro Díaz-Caro and Abuzer Yakaryılmaz},
journal= {arXiv preprint arXiv:1602.04732},
year = {2016}
}
Comments
23 pages. New results were added. Accepted to CSR2016!