Indecomposable entanglement witnesses from symmetric measurements

TL;DR

This paper introduces a new family of entanglement witnesses derived from symmetric measurements, capable of detecting entanglement in states with positive partial transposition, expanding existing methods.

Contribution

It presents a novel construction of indecomposable entanglement witnesses from symmetric measurements, unifying and extending previous approaches.

Findings

Constructed new positive maps from symmetric measurements.

Demonstrated the effectiveness of these witnesses in detecting PPT entanglement.

Provided explicit examples with various measurement configurations.

Abstract

We propose a family of positive maps constructed from a recently introduced class of symmetric measurements. These maps are used to define entanglement witnesses, which include other popular approaches with mutually unbiased bases and mutually unbiased measurements. A particular interest is given to indecomposable witnesses that can be used to detect entanglement of quantum states with positive partial transposition. We present several examples for different number of measurements.