RAIRO-Theor. Inf. Appl.
Volume 53, Number 1-2, January–june 2019
|Page(s)||19 - 35|
|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,
* Corresponding author: email@example.com
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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