Skip to main navigation Skip to search Skip to main content

Classical and quantum counter automata on promise problems

Research output: Chapter in Book/Report/Conference proceedingConference paperResearchpeer-review

9 Citations (Scopus)

Abstract

In this paper, we show that one-way quantum one-counter automaton with zero-error is more powerful than its probabilistic counterpart on promise problems. Then, we obtain a similar separation result between Las Vegas one-way probabilistic one-counter automaton and one-way deterministic one-counter automaton. Lastly, it was conjectured that one-way probabilistic one blind-counter automata cannot recognize Kleene closure of equality language [A. Yakaryilmaz: Superiority of one-way and realtime quantum machines. RAIRO - Theor. Inf. and Applic. 46(4): 615–641 (2012)]. We show that this conjecture is false.

Original languageEnglish
Title of host publicationImplementation and Application of Automata - 20th International Conference, CIAA 2015, Proceedings
EditorsFrank Drewes
PublisherSpringer Verlag
Pages224-237
Number of pages14
ISBN (Print)9783319223599
DOIs
Publication statusPublished - 2015
Externally publishedYes
Event20th International Conference on Implementation and Application of Automata, CIAA 2015 - Umea, Sweden
Duration: 18 Aug 201521 Aug 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9223
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference20th International Conference on Implementation and Application of Automata, CIAA 2015
Country/TerritorySweden
CityUmea
Period18/08/1521/08/15

Keywords

  • Blind counter
  • Counter automata
  • Exact probabilistic and quantum computation
  • Promise problems
  • Quantum automata

Fingerprint

Dive into the research topics of 'Classical and quantum counter automata on promise problems'. Together they form a unique fingerprint.

Cite this