RAIRO-Theor. Inf. Appl.
Volume 36, Number 3, July/September 2002
|Page(s)||277 - 291|
|Published online||15 December 2002|
On the Size of One-way Quantum Finite Automata with Periodic Behaviors
Dipartimento di Informatica, Sist. e Com.,
Università degli Studi di Milano – Bicocca,
Via Bicocca degli Arcimboldi 8,
20126 Milano, Italy; firstname.lastname@example.org.
2 Dipartimento di Informatica, Università degli Studi di Torino, Corso Svizzera 185, 10149 Torino, Italy; email@example.com.
Accepted: 28 May 2002
We show that, for any stochastic event p of period n, there exists a measure-once one-way quantum finite automaton (1qfa) with at most states inducing the event ap+b, for constants a>0, b ≥ 0, satisfying a+b ≥ 1. This fact is proved by designing an algorithm which constructs the desired 1qfa in polynomial time. As a consequence, we get that any periodic language of period n can be accepted with isolated cut point by a 1qfa with no more than states. Our results give added evidence of the strength of measure-once 1qfa's with respect to classical automata.
Mathematics Subject Classification: 68Q10 / 68Q19 / 68Q45
Key words: Quantum finite automata / periodic events and languages
© EDP Sciences, 2002
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.