Article ID Journal Published Year Pages File Type
437824 Theoretical Computer Science 2009 7 Pages PDF
Abstract

We present a simple construction of quantum automata which achieve an exponential advantage over classical finite automata. Our automata use states to recognize a language that requires p states classically. The construction is both substantially simpler and achieves a better constant in the front of logp than the previously known construction.Our construction is by a probabilistic argument. We consider the possibility to derandomize it and present some results in this direction.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics