Quantum gravity and the square of Bell operators

TL;DR

This paper investigates how quantum gravity, through the generalized uncertainty principle, affects Bell inequality violations in qubits and qutrits, suggesting potential insights into quantum gravity via quantum non-locality tests.

Contribution

It analyzes the impact of the generalized uncertainty principle on the square of Bell operators, linking quantum gravity effects to measurable quantum non-locality violations.

Findings

GUP influences Bell inequality violation bounds.

Current experiments set upper limits on GUP parameters.

Bell violation measures could probe quantum gravity effects.

Abstract

The Bell's inequality is a strong criterion to distinguish classical and quantum mechanical aspects of reality. Its violation is the net effect of the existence of non-locality in systems, an advantage for quantum mechanics (QM) over classical physics. The quantum mechanical world is under the control of the Heisenberg uncertainty principle (HUP) that is generalized by quantum gravity (QG) scenarios, called generalized uncertainty principle (GUP). Here, the effects of GUP on the square of Bell operators of qubits and qutrits are studied. The achievements claim that the violation quality of the square of Bell inequalities may be a tool to get a better understanding of the quantum features of gravity. In this regard, it is obtained that the current accuracy of the Stern-Gerlach experiments implies upper bounds on the values of the GUP parameters.