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Unary Probabilistic and Quantum Automata on Promise Problems

  • Aida GainutdinovaEmail author
  • Abuzer Yakaryılmaz
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9168)

Abstract

We continue the systematic investigation of probabilistic and quantum finite automata (PFAs and QFAs) on promise problems by focusing on unary languages. We show that bounded-error QFAs are more powerful than PFAs. But, in contrary to the binary problems, the computational powers of Las-Vegas QFAs and bounded-error PFAs are equivalent to deterministic finite automata (DFAs). Lastly, we present a new family of unary promise problems with two parameters such that when fixing one parameter QFAs can be exponentially more succinct than PFAs and when fixing the other parameter PFAs can be exponentially more succinct than DFAs.

Keywords

Markov Chain Unary Probabilistic State Transition Matrix Deterministic Finite Automaton Unary Language 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Kazan Federal UniversityKazanRussia
  2. 2.National Laboratory for Scientific ComputingPetrópolisBrazil

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