Fine-grained uncertainty relation and biased non-local games in bipartite and tripartite systems

Abstract

The fine-grained uncertainty relation can be used to discriminate among classical, quantum and super-quantum correlations based on their strength of nonlocality, as has been shown for bipartite and tripartite systems with unbiased measurement settings. Here we consider the situation when two and three parties, respectively, choose settings with bias for playing certain non-local games. We show analytically that while the fine-grained uncertainty principle is still able to distinguish classical, quantum and super-quantum correlations for biased settings corresponding to certain ranges of the biasing parameters, the above-mentioned discrimination is not manifested for all biasing.

6 pages, Accepted for publication in Physical Review A

References in corpus (5)

• The uncertainty principle determines the non-locality of quantum mechanics
• Conjectured Strong Complementary Information Tradeoff
• Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension
• Extremal correlations of the tripartite no-signaling polytope
• Fine-grained uncertainty relation and nonlocality of tripartite systems

Cited by in corpus (12)

• Entropic Uncertainty Relations and their Applications
• Fine-grained EPR-steering inequalities
• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Stronger steerability criterion for more uncertain continuous variable systems
• Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
• Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
• The general fine-grained uncertainty relation and the second law of thermodynamics
• Thermodynamics of a Periodically Driven Qubit
• 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
• Optimal CHSH values for regular polygon theories in generalized probabilistic theories