Mutually unbiased measurement based entanglement witnesses

TL;DR

This paper introduces a new class of entanglement witnesses based on mutually unbiased measurements (MUMs), which outperform previous criteria and are feasible for experimental implementation across all dimensions.

Contribution

The authors develop a novel entanglement witness construction using MUMs that surpasses previous methods based on MUBs and is applicable in any dimension.

Findings

Witnesses can be constructed from a complete set of $d+1$ MUMs for any dimension $d$

The new witnesses detect entanglement more effectively than previous criteria

The approach is experimentally feasible

Abstract

We study entanglement witness and present a construction of entanglement witnesses in terms of the mutually unbiased measurements (MUMs). These witnesses include the entanglement witnesses constructed from mutually unbiased bases (MUBs) as a special case. Comparing with the dimension dependence of MUBs, the witnesses can be always constructed from a complete set of $d+1$ MUMs for any dimension $d$. We show that our witness can detect entanglement better than previous separability criterion given also by MUMs. And the approach can be experimentally implemented.