A testable prediction of the no-signalling condition using a variant of the EPR-Bohm example

TL;DR

This paper proposes a testable prediction of the no-signalling condition using a modified EPR-Bohm experiment with a non-ideal Stern-Gerlach device, enabling precision tests of this fundamental principle.

Contribution

It introduces a novel experimental setup involving a non-ideal Stern-Gerlach device to test the no-signalling condition in quantum mechanics.

Findings

Derives a quantitative constraint based on the no-signalling condition.

Shows how non-ideal Stern-Gerlach devices can be used for precision tests.

Provides a framework for experimental verification of fundamental quantum principles.

Abstract

Predictive power of the no-signalling condition (NSC) is demonstrated in a testable situation involving a non-ideal Stern-Gerlach (SG) device in one of the two wings of the EPR-Bohm entangled pairs. In this wing, for two types of measurement in the other wing, we consider the spin state of a selected set of particles that are confined to a particular half of the plane while emerging from the SG magnetic field region. Due to non-idealness of the SG setup, this spin state will have superposing components involving a relative phase for which a testable quantitative constraint is obtained by invoking NSC, thereby providing a means for precision testing of this fundamentally significant principle.