Fine-grained uncertainty relation and nonlocality of tripartite systems

TL;DR

This paper extends the concept of fine-grained uncertainty relations to tripartite systems, demonstrating how these relations can distinguish between classical, quantum, and super-quantum nonlocal correlations via the Svetlichny inequality.

Contribution

It generalizes the fine-grained uncertainty relation to tripartite systems and links it to nonlocality measures like the Svetlichny inequality.

Findings

Fine-grained uncertainty bounds differ across classical, quantum, and super-quantum theories.

The relation can discriminate between different nonlocality regimes in tripartite systems.

Provides a method to characterize nonlocality using uncertainty relations.

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.