Quantum entanglement estimation via symmetric measurement based positive maps

TL;DR

This paper introduces a new class of symmetric measurement-based positive maps to improve the detection and estimation of quantum entanglement, offering more effective criteria and bounds than previous methods.

Contribution

The authors develop symmetric measurement-based positive maps that enhance entanglement detection, witnesses, and bounds, surpassing existing techniques.

Findings

More effective entanglement detection compared to prior methods

New separability criteria and entanglement witnesses

Improved lower bounds of concurrence

Abstract

We provide a class of positive and trace-preserving maps based on symmetric measurements. From these positive maps we present separability criteria, entanglement witnesses, as well as the lower bounds of concurrence. We show by detailed examples that our separability criteria, entanglement witnesses and lower bounds can detect and estimate the quantum entanglement better than the related existing results.