On the Class of Languages Recognizable by 1-Way Quantum Finite Automata

  • Authors:
  • Andris Ambainis;Arnolds Kikusts;Maris Valdats

  • Affiliations:
  • -;-;-

  • Venue:
  • STACS '01 Proceedings of the 18th Annual Symposium on Theoretical Aspects of Computer Science
  • Year:
  • 2001

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Abstract

It is an open problem to characterize the class of languages recognized by quantum finite automata (QFA). We examine some necessary and some sufficient conditions for a (regular) language to be recognizable by a QFA. For a subclass of regular languages we get a condition which is necessary and sufficient. Also, we prove that the class of languages recognizable by a QFA is not closed under union or any other binary Boolean operation where both arguments are significant.