Quantifying high dimensional entanglement with two mutually unbiased bases

TL;DR

This paper presents a method to quantify high-dimensional multipartite entanglement using only two mutually unbiased bases, requiring minimal assumptions and feasible with current experimental setups.

Contribution

It introduces a new framework for entanglement quantification in high dimensions with limited basis characterization, enhancing experimental practicality.

Findings

Framework effectively quantifies entanglement with two bases

Method works with uncharacterized second basis

Experimental implementation is feasible with existing equipment

Abstract

We derive a framework for quantifying entanglement in multipartite and high dimensional systems using only correlations in two unbiased bases. We furthermore develop such bounds in cases where the second basis is not characterized beyond being unbiased, thus enabling entanglement quantification with minimal assumptions. Furthermore, we show that it is feasible to experimentally implement our method with readily available equipment and even conservative estimates of physical parameters.