Nonlocality in sequential correlation scenarios

TL;DR

This paper develops a general operational framework to study nonlocality in sequential measurement scenarios, unifying standard and hidden nonlocality, and characterizes sequential nonlocality as a resource that cannot be generated by allowed operations.

Contribution

It introduces a comprehensive framework for analyzing nonlocality in sequences of measurements, extending existing concepts to include hidden nonlocality within a unified approach.

Findings

Provides a characterization of sequential nonlocality as a resource.

Unifies standard and hidden nonlocality within a single framework.

Defines allowed operations in sequential correlation scenarios.

Abstract

As first shown by Popescu [S. Popescu, Phys. Rev. Lett. 74, 2619 (1995)], some quantum states only reveal their nonlocality when subjected to a sequence of measurements while giving rise to local correlations in standard Bell tests. Motivated by this manifestation of "hidden nonlocality" we set out to develop a general framework for the study of nonlocality when sequences of measurements are performed. Similar to [R. Gallego et al., Phys. Rev. Lett. 109, 070401 (2013)] our approach is operational, i.e. the task is to identify the set of allowed operations in sequential correlation scenarios and define nonlocality as the resource that cannot be created by these operations. This leads to a characterisation of sequential nonlocality that contains as particular cases standard nonlocality and hidden nonlocality.