Complementarity of genuine multipartite non-locality
arXiv:1603.09120 · doi:10.1103/PhysRevA.96.022121
Abstract
We introduce a new feature of no-signaling (Bell) non-local theories, namely, when a system of multiple parties manifests genuine non-local correlation, then there cannot be arbitrarily high non-local correlation among any subset of the parties. We call this feature, \textit{complementarity of genuine multipartite non-locality}. We use Svetlichny's criterion for genuine multipartite non-locality and non-local games to derive the complementarity relations under no-signaling constraints. We find that the complementarity relations are tightened for the much stricter quantum constraints. We compare this notion with the well-known notion of \textit{monogamy of non-locality}. As a consequence, we obtain tighter non-trivial monogamy relations that take into account genuine multipartite non-locality. Furthermore, we provide numerical evidence showcasing this feature using a bipartite measure and several other well-known tripartite measures of non-locality.
Major changes. 19 pages, 7 FIGs
References in corpus (9)
- General Monogamy Inequality for Bipartite Qubit Entanglement
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
- Introduction to the book "Quantum Theory: Informational Foundations and Foils"
- Monogamy inequality for distributed Gaussian entanglement
- Extremal correlations of the tripartite no-signaling polytope
- Monogamy of Bell's inequality violations in non-signaling theories
- Bounds on Quantum Correlations in Bell Inequality Experiments
- Quantum Cloning, Bell's Inequality and Teleportation