Minimum quantum resources for strong non-locality
Quantum Physics
2018-09-10 v1
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.
Cite
@article{arxiv.1705.09312,
title = {Minimum quantum resources for strong non-locality},
author = {Samson Abramsky and Rui Soares Barbosa and Giovanni Carù and Nadish de Silva and Kohei Kishida and Shane Mansfield},
journal= {arXiv preprint arXiv:1705.09312},
year = {2018}
}
Comments
20 pages, 5 figures