| Issue |
RAIRO-Theor. Inf. Appl.
Volume 53, Number 1-2, January–June 2019
|
|
|---|---|---|
| Page(s) | 19 - 35 | |
| DOI | https://doi.org/10.1051/ita/2018020 | |
| Published online | 15 January 2019 | |
On the power of two-way multihead quantum finite automata
Department of Computer Science, Thapar Institute of Engineering & Technology, Patiala,
India
* Corresponding author: amandeepbhatia.singh@gmail.com
Received:
24
October
2017
Accepted:
18
December
2018
This paper introduces a variant of two-way quantum finite automata named two-way multihead quantum finite automata. A two-way quantum finite automaton is more powerful than classical two-way finite automata. However, the generalizations of two-way quantum finite automata have not been defined so far as compared to one-way quantum finite automata model. We have investigated the newly introduced automata from two aspects: the language recognition capability and its comparison with classical and quantum counterparts. It has been proved that a language which cannot be recognized by any one-way and multi-letter quantum finite automata can be recognized by two-way quantum finite automata. Further, it has been shown that a language which cannot be recognized by two-way quantum finite automata can be recognized by two-way multihead quantum finite automata with two heads. Furthermore, it has been investigated that quantum variant of two-way deterministic multihead finite automata takes less number of heads to recognize a language containing of all words whose length is a prime number.
Mathematics Subject Classification: 81P68 / 68Q05 / 68Q10 / 68Q12 / 68Q45
Key words: Two-way deterministic finite automata (2DFA) / two-way reversible finite automata (2RFA) / two-way deterministic multihead finite automata (DMFA) / two-way reversible multihead finite automata (RMFA) / two-way quantum finite automata (2QFA) / two-way multihead quantum finite automata (2MQFA)
© EDP Sciences, 2019
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