Quantum Inf Process (2017) 16:28
Generating tripartite nonlocality from bipartite
Received: 21 August 2016 / Accepted: 3 December 2016 / Published online: 20 December 2016
© Springer Science+Business Media New York 2016
Abstract Nonlocality is an important resource for quantum information processing.
Tripartite nonlocality is more difﬁcult to produce in experiments than bipartite ones.
In this paper, we analyze a simple setting to generate tripartite nonlocality from two
classes of bipartite resources, namely two-qubit entangled pure states and Werner
states. Upper bounds on the tripartite nonlocality, characterized by the maximal vio-
lation of Svetlichny inequalities, are given, and the optimal measurements to achieve
these bounds are provided.
Keywords Quantum information · Tripartite nonlocality · Svetlichny inequality ·
Nonlocality is one of the most fundamental characteristics of quantum mechanics. The
nonlocal quantum correlations existing between spatially separated quantum systems
have signiﬁcant advantages over classical correlations, thus serving as an indispensable
resource for quantum information processing. In recent years, many novel applications
of nonlocality have been developed for quantum computation and quantum commu-
The author is delighted to thank my supervisor, Professor Yuan Feng, for illuminating discussions. This
research is partially supported by Chinese Scholarship Council (Grant No. 201206270069) and Australian
Research Council (Grant No. DP160101652).
Centre for Quantum Software and Information, University of Technology Sydney,