Entanglement detection for electrons via witness operators

TL;DR

This paper explores the use of entanglement witness operators to detect entanglement in electron systems, focusing on spin and orbital degrees of freedom, and assesses their efficiency and ability to infer dephasing effects.

Contribution

It introduces a practical implementation of entanglement witnesses for electrons and evaluates their effectiveness across different entanglement structures and device conditions.

Findings

Entanglement witnesses can detect electron entanglement with few measurements.

The method is effective for various particle-hole entanglement structures.

It can infer dephasing effects in electron devices.

Abstract

We discuss an implementation of the entanglement witness, a method to detect entanglement with few local measurements, in systems where entangled electrons are generated both in the spin and orbital degrees of freedom. We address the efficiency of this method in various setups, including two different particle-hole entanglement structures, and we demonstrate that it can also be used to infer information on the possible dephasing afflicting the devices.