Simplified measurement of the Bell parameter within quantum mechanics

TL;DR

This paper proposes a simplified method to measure the Bell parameter for two-photon polarization states within quantum mechanics, reducing measurement complexity and statistical error compared to the standard approach.

Contribution

It introduces a new measurement technique requiring only two specific polarizer settings, streamlining Bell parameter evaluation.

Findings

Method reduces measurement complexity.

Significantly smaller statistical errors.

Applicable within standard quantum mechanics assumptions.

Abstract

We point out that, if one accepts the validity of quantum mechanics, the Bell parameter for the polarization state of two photons can be measured in a simpler way than by the standard procedure [Clauser, Horne, Shimony, and Holt, Phys. Rev. Lett. 23, 880 (1969)]. The proposed method requires only two measurements with parallel linear-polarizer settings for Alice and Bob at 0 and 45 degrees, and yields a significantly smaller statistical error for a large Bell parameter.