Ascertaining the Uncertainty Relations via Quantum Correlations

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.

18 pages, 2 figures; published in J. Phys. A: Math. Theor