Entanglement Witnesses Based on Symmetric Informationally Complete Measurements

TL;DR

This paper introduces a new method for detecting quantum entanglement using symmetric informationally complete measurements, which outperforms previous techniques and can be generalized to broader measurement schemes.

Contribution

The paper presents a novel construction of entanglement witnesses based on SIC-POVM and GSIC-POVM, enhancing entanglement detection capabilities beyond existing methods.

Findings

The proposed witnesses detect more entanglement than previous SIC-POVM-based methods.

The construction is applicable to general GSIC-POVM, independent of system dimension.

Examples demonstrate the effectiveness of the new entanglement witnesses.

Abstract

We study entanglement witness and present a construction of entanglement witnesses in terms of the symmetric informationally complete measurements (SIC-POVM). The capability of our witness is shown by some examples and it can be found this witness detects more entanglement than previous separability method given also by SIC-POVM. What's more, comparing with the dimension dependence of SIC-POVM, we also give the entanglement witnesses can be always constructed from general symmetric informationally complete measurements (GSIC-POVM).