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Languages recognized with unbounded error by quantum finite automata

  • Bogazici University

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

16 Citations (Scopus)

Abstract

We prove the following facts about the language recognition power of Kondacs-Watrous quantum finite automata in the unbounded error setting: One-way automata of this kind recognize all and only the stochastic languages. When the tape head is allowed two-way (or even "1.5-way") movement, more languages become recognizable. This leads to the conclusion that quantum Turing machines are more powerful than probabilistic Turing machines when restricted to constant space bounds.

Original languageEnglish
Title of host publicationComputer Science - Theory and Applications - 4th International Computer Science Symposium in Russia, CSR 2009, Proceedings
Pages356-367
Number of pages12
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event4th International Computer Science Symposium in Russia, CSR 2009 - Novosibirsk, Russian Federation
Duration: 18 Aug 200923 Aug 2009

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5675 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Computer Science Symposium in Russia, CSR 2009
Country/TerritoryRussian Federation
CityNovosibirsk
Period18/08/0923/08/09

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