On the state complexity of semi-quantum finite automata

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ZHENG Shenggen GRUSKA Jozef QIU Daowen

Rok publikování 2014
Druh Článek ve sborníku
Konference Language and Automata Theory and Applications
Fakulta / Pracoviště MU

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Citace
Doi http://dx.doi.org/10.1007/978-3-319-04921-2_49
Obor Informatika
Klíčová slova Communication complexity; Promise problems; Quantum finite automata; State complexity; Two-way finite automata
Popis Some of the most interesting and important results concerning quantum finite automata are those showing that they can recognize certain languages with (much) less resources than corresponding classical finite automata. This paper shows three results of such a type that are stronger in some sense than other ones because (a) they deal with models of quantum finite automata with very little quantumness (so-called semi-quantum one- and two-way finite automata); (b) differences, even comparing with probabilistic classical automata, are bigger than expected; (c) a trade-off between the number of classical and quantum basis states needed is demonstrated in one case and (d) languages (or the promise problem) used to show main results are very simple and often explored ones in automata theory or in communication complexity, with seemingly little structure that could be utilized.
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