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Error-free affine, unitary, and probabilistic OBDDS

  • Kazan Volga Region Federal University
  • Smart Quantum Technologies Ltd.
  • University of Latvia

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

14 Citations (Scopus)

Abstract

We introduce the affine OBDD model and show that zero-error affine OBDDs can be exponentially narrower than bounded-error unitary and probabilistic OBDDs on certain problems. Moreover, we show that Las Vegas unitary and probabilistic OBDDs can be quadratically narrower than deterministic OBDDs. We also obtain the same results for the automata versions of these models.

Original languageEnglish
Title of host publicationDescriptional Complexity of Formal Systems - 20th IFIP WG 1.02 International Conference, DCFS 2018, Proceedings
EditorsStavros Konstantinidis, Giovanni Pighizzini
PublisherSpringer Verlag
Pages175-187
Number of pages13
ISBN (Print)9783319946306
DOIs
Publication statusPublished - 2018
Event20th IFIP WG 1.02 International Conference on Descriptional Complexity of Formal Systems, DCFS 2018 - Halifax, Canada
Duration: 25 Jul 201827 Jul 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10952 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference20th IFIP WG 1.02 International Conference on Descriptional Complexity of Formal Systems, DCFS 2018
Country/TerritoryCanada
CityHalifax
Period25/07/1827/07/18

Keywords

  • Affine models
  • Las Vegas computation
  • OBDDs
  • Quantum and probabilistic computation
  • Succinctness
  • Zero-error

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