Bell inequality tests using asymmetric entangled coherent states in asymmetric lossy environments

TL;DR

This paper investigates asymmetric entangled coherent states for Bell inequality tests, demonstrating their advantages over symmetric states and showing that asymmetric distribution in lossy environments enhances Bell violation.

Contribution

It introduces an asymmetric ECS form for Bell tests and shows that asymmetric distribution schemes improve Bell inequality violations in lossy environments.

Findings

Asymmetric ECSs outperform symmetric ECSs in Bell tests.

Asymmetric distribution schemes increase Bell violation under loss.

Asymmetric ECSs are advantageous in lossy quantum communication.

Abstract

We study an asymmetric form of two-mode entangled coherent state (ECS), where the two local amplitudes have different values, for testing the Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) inequality. We find that the asymmetric ECSs have obvious advantages over the symmetric form of ECSs in testing the Bell-CHSH inequality. We further study an asymmetric strategy in distributing an ECS over a lossy environment and find that such a scheme can significantly increase violation of the inequality.