Detecting and protecting entanglement through nonlocality, variational entanglement witness, and nonlocal measurements

TL;DR

This paper introduces a variational entanglement witness and a nonlocal measurement framework to improve the detection and preservation of quantum entanglement, surpassing limitations of traditional CHSH-based methods.

Contribution

It presents a novel variational entanglement witness and nonlocal measurement approach that enhance entanglement detection and protection without destroying the quantum states.

Findings

Improved detection efficiency of entanglement.

Enhanced ability to distinguish entangled from separable states.

Preservation of entanglement during measurement.

Abstract

We propose an innovative method to enhance the detection and protection of quantum entanglement, a cornerstone of quantum mechanics with applications in computing, communication, and beyond. While entanglement can be represented through nonlocal correlations detectable by the Clauser-Horne-Shimony-Holt (CHSH) inequality, this method does not fully capture all entangled states. To address this limitation, we introduce a variational entanglement witness (VEW) that optimizes the probabilities of detection and improves the efficiency of distinguishing between separable and entangled states. Additionally, we propose a novel nonlocal measurement framework that enables the assessment of both CHSH inequalities and the VEW while preserving the entanglement. Our approach enhances the reliability of entanglement detection while maintaining the entanglement of quantum states, offering significant advancements for quantum technologies.