Skip to main navigation Skip to search Skip to main content

Debates with small transparent quantum verifiers

  • Laboratório Nacional de Computação Científica
  • Bogazici University
  • The University of Chicago

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

1 Citation (Scopus)

Abstract

We study a model where two opposing provers debate over the membership status of a given string in a language, trying to convince a weak verifier whose coins are visible to all. We show that the incorporation of just two qubits to an otherwise classical constant-space verifier raises the class of debatable languages from at most NP to the collection of all Turing-decidable languages (recursive languages). When the verifier is further constrained to make the correct decision with probability 1, the corresponding class goes up from the regular languages up to at least E.

Original languageEnglish
Title of host publicationDevelopments in Language Theory - 18th International Conference, DLT 2014, Proceedings
PublisherSpringer Verlag
Pages327-338
Number of pages12
ISBN (Print)9783319096971
DOIs
Publication statusPublished - 2014
Event18th International Conference on Developments in Language Theory, DLT 2014 - Ekaterinburg, Russian Federation
Duration: 26 Aug 201429 Aug 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8633 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th International Conference on Developments in Language Theory, DLT 2014
Country/TerritoryRussian Federation
CityEkaterinburg
Period26/08/1429/08/14

Keywords

  • Arthur-Merlin games
  • debate systems
  • probabilistic finite automata
  • quantum computing
  • quantum finite automata
  • zero-error

Fingerprint

Dive into the research topics of 'Debates with small transparent quantum verifiers'. Together they form a unique fingerprint.

Cite this