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.
Year
DOI
Venue
2017
10.4230/LIPIcs.TQC.2017.9
TQC
Field
DocType
ISSN
Statistical physics,Pairwise comparison,Quantum nonlocality,Quantum,Finite set,Quantum entanglement,Quantum mechanics,Qubit,Mathematics
Conference
Proc. TQC 2017, Leibniz International Proceedings in Informatics (LIPIcs), 9:1--9:20
Citations 
PageRank 
References 
1
0.36
1
Authors
6
Name
Order
Citations
PageRank
Samson Abramsky13169348.51
Rui Soares Barbosa2234.75
Giovanni Carù310.36
Nadish de Silva410.70
Kohei Kishida5326.85
Shane Mansfield611.04