Minimum quantum resources for strong non-locality

Samson Abramsky; Rui Soares Barbosa; Giovanni Carù; Nadish De Silva; Kohei Kishida; Shane Mansfield

doi:10.4230/LIPIcs.TQC.2017.9

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 proceeding › Conference 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 language	English (US)
Title of host publication	12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017
Editors	Mark M. Wilde
Publisher	Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Pages	91-920
Number of pages	830
ISBN (Electronic)	9783959770347
DOIs	https://doi.org/10.4230/LIPIcs.TQC.2017.9
State	Published - Feb 1 2018
Externally published	Yes
Event	12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017 - Paris, France Duration: Jun 14 2017 → Jun 16 2017

Publication series

Name	Leibniz International Proceedings in Informatics, LIPIcs
Volume	73
ISSN (Print)	1868-8969

Conference

Conference	12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017
Country	France
City	Paris
Period	6/14/17 → 6/16/17

Keywords

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

ASJC Scopus subject areas

Software

Access to Document

10.4230/LIPIcs.TQC.2017.9

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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

Minimum quantum resources for strong non-locality. / Abramsky, Samson; Barbosa, Rui Soares; Carù, Giovanni; De Silva, Nadish; Kishida, Kohei; Mansfield, Shane.

12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017. ed. / Mark M. Wilde. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2018. p. 91-920 (Leibniz International Proceedings in Informatics, LIPIcs; Vol. 73).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abramsky, S, Barbosa, RS, Carù, G, De Silva, N, Kishida, K & Mansfield, S 2018, Minimum quantum resources for strong non-locality. in MM Wilde (ed.), 12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017. Leibniz International Proceedings in Informatics, LIPIcs, vol. 73, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, pp. 91-920, 12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017, Paris, France, 6/14/17. https://doi.org/10.4230/LIPIcs.TQC.2017.9

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

Abramsky, Samson ; Barbosa, Rui Soares ; Carù, Giovanni ; De Silva, Nadish ; Kishida, Kohei ; Mansfield, Shane. / Minimum quantum resources for strong non-locality. 12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017. editor / Mark M. Wilde. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2018. pp. 91-920 (Leibniz International Proceedings in Informatics, LIPIcs).

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