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A minimization algorithm of 1-way quantum finite automata

Siedlecka-Lamch O.

Metody Informatyki Stosowanej

2010

nr 4 (24)

73-79

A minimization of finite automata is important for designing of computer's hardware and software. A finite automata can be a model of any system with finite number of states. A limitation of number of states will save resources and time. In this article 1-way quantum finite automata is presented. We describe its characteristics, behaviour and languages accepted by it. This type of automata can be in future exploited to design and checking the behaviour of quantum systems, in lexical anaiyzer of a compiler, that will be used on quantum computers, or in verification systems. Also in this case Iimitation of states will save resources. The article holds formulated definition of indistinguishableness relation for 1-way quantum finite automata, on base of which minimization algorithm was created. Additionally, the algorithm 's complexity analysis and example of behaviour is holded.