Activating Strongest Possible Nonlocality from Local Sets: An Elimination Paradigm

TL;DR

This paper demonstrates that the strongest form of nonlocality activation, involving elimination of local states, can be achieved in lower-dimensional multipartite systems, extending previous results beyond bipartite cases.

Contribution

It shows that the strongest nonlocality activation via elimination is possible in lower-dimensional multipartite systems, not just bipartite ones.

Findings

Activation of nonlocality through elimination in multipartite systems.

Demonstration of strongest nonlocality activation where no product states can be eliminated.

Extension of nonlocality activation results to lower dimensions.

Abstract

Apart from the Bell nonlocality, which deals with the correlations generated from the local input-output statistics, quantum theory exhibits another kind of nonlocality that involves the indistiguishability of the locally preparable set of multipartite states. While Bell-type nonlocality cannot be distilled from a given local correlation, it is already reported that the latter kind of nonlocality can be activated from a "local", i.e., locally distinguishable set of states. Although, recently it is shown that a stronger notion of such a nonlocality, which deals with elimination instead of discrimination, can be activated from locally preparable bipartite states of dimension 7 $\times$ 8, the present work observes that the same notion can be demonstrated even in lower dimensional multipartite systems. Importantly,the strongest possible version of such an activation is further depicted here, where none of the transformed product states can be eliminated, even if all but one of the parties come together.