@inproceedings{bd884bd17b75433490cd34d99aa81492,
title = "Minimum quantum resources for strong non-locality",
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.",
keywords = "Maximal non-locality, Quantum resources, Strong non-locality, Three-qubit states",
author = "Samson Abramsky and Barbosa, {Rui Soares} and Giovanni Car{\`u} and {De Silva}, Nadish and Kohei Kishida and Shane Mansfield",
note = "Funding Information: ∗ This work was carried out in part while some of the authors visited the Simons Institute for the Theory of Computing (supported by the Simons Foundation) at the University of California, Berkeley, as participants of the Logical Structures in Computation programme (AB, RSB, GC, NdS, SM), and while SM was based at the Institut de Recherche en Informatique Fondamentale, Universit{\'e} Paris Diderot – Paris 7. Support from the following is also gratefully acknowledged: EPSRC EP/N018745/1 and EP/N017935/1, Contextuality as a Resource in Quantum Computation (SA, RSB, NdS); EPSRC Doctoral Training Partnership and Oxford–Google Deepmind Graduate Scholarship (GC); U.S. AFOSR FA9550-12-1-0136, Topological & Game-Semantic Methods for Understanding Cyber Security (KK); Fondation Sciences Math{\'e}matiques de Paris, post-doctoral research grant otpFIELD15RPOMT-FSMP1, Contextual Semantics for Quantum Theory (SM). Publisher Copyright: {\textcopyright} Samson Abramsky, Rui Soares Barbosa, Giovanni Car{\`u}, Nadesh de Silva, Kohei Kishida, and Shane Mansfield; licensed under Creative Commons License CC-BY; 12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017 ; Conference date: 14-06-2017 Through 16-06-2017",
year = "2018",
month = feb,
day = "1",
doi = "10.4230/LIPIcs.TQC.2017.9",
language = "English (US)",
series = "Leibniz International Proceedings in Informatics, LIPIcs",
publisher = "Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing",
pages = "91--920",
editor = "Wilde, {Mark M.}",
booktitle = "12th Conference on the Theory of Quantum Computation, Communication, and Cryptography, TQC 2017",
address = "Germany",
}