Fine-grained uncertainty relation and nonlocality of tripartite systems

Abstract

The upper bound of the fine-grained uncertainty relation is different for classical physics, quantum physics and no-signaling theories with maximal nonlocality (supper quantum correlation), as was shown in the case of bipartite systems [J. Oppenheim and S. Wehner, Science 330, 1072 (2010)]. Here, we extend the fine-grained uncertainty relation to the case of tripartite systems. We show that the fine-grained uncertainty relation determines the nonlocality of tripartite systems as manifested by the Svetlichny inequality, discriminating between classical physics, quantum physics and super quantum correlations.

4 pages

References in corpus (6)

• The uncertainty principle determines the non-locality of quantum mechanics
• Conjectured Strong Complementary Information Tradeoff
• Extremal correlations of the tripartite no-signaling polytope
• Entanglement condition via su(2) and su(1,1) algebra using Schr{ö}dinger-Robertson uncertainty relation
• Multipartite Entanglement Criterion from Uncertainty Relations
• Entanglement conditions for tripartite systems via indeterminacy relations

Cited by in corpus (10)

• Fine-grained EPR-steering inequalities
• Fine-grained lower limit of entropic uncertainty in the presence of quantum memory
• Lower bound of quantum uncertainty from extractable classical information
• Detecting mixedness of qutrit systems using the uncertainty relation
• Stronger steerability criterion for more uncertain continuous variable systems
• Fine-grained uncertainty relation and biased non-local games in bipartite and tripartite systems
• Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
• Fine-grained uncertainty relation under the relativistic motion
• Operational nonclassicality of local multipartite correlations in the limited-dimensional simulation scenario
• Characterization of the quantumness of unsteerable tripartite correlations