Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality

TL;DR

This paper establishes tight upper bounds on Svetlichny operator values under local filtering, revealing hidden genuine nonlocality in certain three-qubit states through analytical methods.

Contribution

It provides the first tight upper bounds on Svetlichny operators considering local filtering and analyzes hidden nonlocality in three-qubit systems.

Findings

Tight upper bounds on Svetlichny operator values under local filtering.

Identification of three-qubit states with hidden genuine nonlocality.

Analytical methods revealing hidden nonlocality through local filtering.

Abstract

Nonlocal quantum correlations among the quantum subsystems play essential roles in quantum science. The violation of the Svetlichny inequality provides sufficient conditions of genuine tripartite nonlocality. We provide tight upper bounds on the maximal quantum value of the Svetlichny operators under local filtering operations, and present a qualitative analytical analysis on the hidden genuine nonlocality for three-qubit systems. We investigate in detail two classes of three-qubit states whose hidden genuine nonlocalities can be revealed by local filtering.