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Exact results for accepting probabilities of quantum automata

  • University of California at Berkeley
  • University of Latvia

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

2 Citations (Scopus)

Abstract

One of the properties of Kondacs-Watrous model of quantum finite automata (QFA) is that the probability of the correct answer for a QFA cannot be amplified arbitrarily. In this paper, we determine the maximum probabilities achieved by QFAs for several languages. In particular, we show that any language that is not recognized by an RFA (reversible finite automaton) can be recognized by a QFA with probability at most 0.7726.

Original languageEnglish
Title of host publicationMathematical Foundations of Computer Science 2001 - 26th International Symposium, MFCS 2001, Proceedings
EditorsJiri Sgall, Ales Pultr, Petr Kolman
PublisherSpringer Verlag
Pages135-147
Number of pages13
ISBN (Print)9783540446835
DOIs
Publication statusPublished - 2001
Externally publishedYes
Event26th International Symposium on Mathematical Foundations of Computer Science, MFCS 2001 - Marianske Lazne, Czech Republic
Duration: 27 Aug 200131 Aug 2001

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2136
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference26th International Symposium on Mathematical Foundations of Computer Science, MFCS 2001
Country/TerritoryCzech Republic
CityMarianske Lazne
Period27/08/0131/08/01

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