Ascertaining the Uncertainty Relations via Quantum Correlations

TL;DR

This paper introduces a new, experimentally feasible method to express and verify the uncertainty principle using bipartite correlation functions, applicable to various physical systems and providing insights into quantum correlations.

Contribution

It presents a novel inequality-based scheme to relate the uncertainty principle with quantum correlations, enabling practical experimental verification across different systems.

Findings

The scheme allows experimental testing of measurement disturbance relations.

It establishes bounds on bipartite correlation strengths.

It derives monogamy relations for multipartite quantum systems.

Abstract

We propose a new scheme to express the uncertainty principle in form of inequality of the bipartite correlation functions for a given multipartite state, which provides an experimentally feasible and model-independent way to verify various uncertainty and measurement disturbance relations. By virtue of this scheme the implementation of experimental measurement on the measurement disturbance relation to a variety of physical systems becomes practical. The inequality in turn also imposes a constraint on the strength of correlation, i.e. it determines the maximum value of the correlation function for two-body system and a monogamy relation of the bipartite correlation functions for multipartite system.