| ZHENG, Shenggen, Jozef GRUSKA and Daowen QIU. On the state complexity of semi-quantum finite automata. In Dediu, A.-H., Martín-Vide, C., Sierra-Rodríguez, J.-L., Truthe, B. Language and Automata Theory and Applications. LNCS 8370. Germany: Springer, 2014, p. 601-612. ISBN 978-3-319-04920-5. Available from: https://dx.doi.org/10.1007/978-3-319-04921-2_49. |
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@inproceedings{1173910,
author = {Zheng, Shenggen and Gruska, Jozef and Qiu, Daowen},
address = {Germany},
booktitle = {Language and Automata Theory and Applications},
doi = {http://dx.doi.org/10.1007/978-3-319-04921-2_49},
edition = {LNCS 8370},
editor = {Dediu, A.-H., Martín-Vide, C., Sierra-Rodríguez, J.-L., Truthe, B},
keywords = {Communication complexity; Promise problems; Quantum finite automata; State complexity; Two-way finite automata},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Germany},
isbn = {978-3-319-04920-5},
pages = {601-612},
publisher = {Springer},
title = {On the state complexity of semi-quantum finite automata},
year = {2014}
}
TY - JOUR
ID - 1173910
AU - Zheng, Shenggen - Gruska, Jozef - Qiu, Daowen
PY - 2014
TI - On the state complexity of semi-quantum finite automata
PB - Springer
CY - Germany
SN - 9783319049205
KW - Communication complexity
KW - Promise problems
KW - Quantum finite automata
KW - State complexity
KW - Two-way finite automata
N2 - 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.
ER -
ZHENG, Shenggen, Jozef GRUSKA and Daowen QIU. On the state complexity of semi-quantum finite automata. In Dediu, A.-H., Martín-Vide, C., Sierra-Rodríguez, J.-L., Truthe, B. \textit{Language and Automata Theory and Applications}. LNCS 8370. Germany: Springer, 2014, p.~601-612. ISBN~978-3-319-04920-5. Available from: https://dx.doi.org/10.1007/978-3-319-04921-2\_{}49.
|
