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 (US)
Title of host publication12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017
EditorsMark M. Wilde
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Pages91-920
Number of pages830
ISBN (Electronic)9783959770347
DOIs
StatePublished - Feb 1 2018
Externally publishedYes
Event12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017 - Paris, France
Duration: Jun 14 2017Jun 16 2017

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume73
ISSN (Print)1868-8969

Conference

Conference12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017
CountryFrance
CityParis
Period6/14/176/16/17

Keywords

  • Maximal non-locality
  • Quantum resources
  • Strong non-locality
  • Three-qubit states

ASJC Scopus subject areas

  • Software

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  • Cite this

    Abramsky, S., Barbosa, R. S., Carù, G., De Silva, N., Kishida, K., & Mansfield, S. (2018). Minimum quantum resources for strong non-locality. In M. M. Wilde (Ed.), 12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017 (pp. 91-920). (Leibniz International Proceedings in Informatics, LIPIcs; Vol. 73). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. https://doi.org/10.4230/LIPIcs.TQC.2017.9