Minimum quantum resources for strong non-locality

Samson Abramsky, Rui Soares Barbosa, Giovanni Carù, Nadish de Silva, Kohei Kishida, Shane Mansfield

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We analyse the minimum quantum resources needed to realise strong non-locality, as exemplified e.g. by the classical GHZ construction. It was already known that no two-qubit system, with any finite number of local measurements, can realise strong
non-locality. For three-qubit systems, we show that strong non-locality can only be realised in the GHZ SLOCC class, and with equatorial measurements. However, we show that in this class there is an infinite family of states which are pairwise non LU-equivalent that realise strong non-locality with finitely many measurements. These states have decreasing entanglement between one qubit and the other two, necessitating an increasing number of local measurements on the latter.
Original languageEnglish
Title of host publication12th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2017)
EditorsMark M. Wilde
Place of PublicationDagstuhl, Germany
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Number of pages20
Volume73
ISBN (Electronic)978-3-95977-034-7
DOIs
Publication statusPublished - 26 Feb 2018
Event 12th Conference on the Theory of Quantum Computation, Communication, and Cryptography - Université Pierre et Marie Curie, Paris, France
Duration: 14 Jun 201716 Jun 2017
http://tqc2017.lip6.fr/
http://tqc2017.lip6.fr/

Publication series

NameLeibniz International Proceedings in Informatics (LIPIcs)
PublisherSchloss Dagstuhl--Leibniz-Zentrum fuer Informatik
Volume73
ISSN (Electronic)1868-8969

Conference

Conference 12th Conference on the Theory of Quantum Computation, Communication, and Cryptography
Abbreviated titleTQC 2017
CountryFrance
CityParis
Period14/06/1716/06/17
Internet address

Keywords

  • strong non-locality
  • maximal non-locality
  • quantum resources
  • threequbit states

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