Viable entanglement detection of unknown mixed states in low dimensions

TL;DR

This paper introduces a practical method for detecting entanglement in unknown mixed quantum states using a hierarchy of feasibility problems, significantly reducing measurement costs compared to full tomography.

Contribution

It presents a novel, experimentally viable approach for entanglement detection applicable to both free and bound states with minimal measurements.

Findings

Entanglement detection is achieved with lower cost than full state tomography.

The method works for both free and bound entanglement.

Detection relies on a hierarchy of simple feasibility problems.

Abstract

We explore procedures to detect entanglement of unknown mixed states, which can be experimentally viable. The heart of the method is a hierarchy of simple feasibility problems, which provides sufficient conditions to entanglement. Our numerical investigations indicate that the entanglement is detected with a cost which is much lower than full state tomography. The procedure is applicable to both free and bound entanglement, and involves only single copy measurements.