Indecomposability of entanglement witnesses constructed from symmetric measurements

Sci Rep. 2022 Jun 24;12(1):10785. doi: 10.1038/s41598-022-14920-5.

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.