Proposal for Direct, Local Measurement of Entanglement for Pure Bipartite Systems of Arbitrary Dimension

TL;DR

This paper introduces a straightforward experimental method for directly measuring entanglement in pure bipartite systems of any dimension, utilizing subsystem purity and simple local operations.

Contribution

It proposes a novel, practical approach to measure entanglement based on complementarity, requiring only local rotations and measurements on one subsystem.

Findings

Applicable to systems of arbitrary dimension

Requires only local operations and measurements

Easily implementable with linear optical devices

Abstract

Based on the complementarity relation between entanglement of a composite system and the purity of a subsystem, we propose a simple method to measure the amount of entanglement. The method can be applied to a bipartite system in a pure state of any arbitrary dimension. It requires only single qudit rotations and straightforward probability measurements performed on one of the subsystems, and can thus be easily implemented experimentally using linear optical devices.