Geometrical correlations as a resource for nonlocal extractable work

In this paper, we aim to describe nonlocal extractable work in terms of geometrical correlations, in an attempt to characterize the latter as a resource for the first. Principally, we are going to show an analytical expression that relates these two quantities for two-qubit Bell-diagonal states. This expression is displayed when the correlations are geometrically defined by using the Schatten 1-norm to measure distances among quantum states in the Hilbert space. Additionally, we are also going to show – outside the family of Bell-diagonal states – the existence of correlated bipartite passive states, implying that nonzero correlations are not a sufficient condition for nonlocal work extraction.