Entanglement Witnesses for Indistinguishable Particles

TL;DR

This paper develops a unified framework for detecting entanglement in systems of indistinguishable particles, providing optimal witnesses applicable to various quantum systems and environments.

Contribution

It derives necessary and sufficient conditions for entanglement detection among indistinguishable particles, unifying the verification process for different particle types and quantum statistics.

Findings

Derived equations for entanglement witnessing

Constructed optimal entanglement witnesses for various systems

Unified entanglement verification for distinguishable and indistinguishable particles

Abstract

We study the problem of witnessing entanglement among indistinguishable particles. For this purpose, we derive a set of equations which results in necessary and sufficient conditions for probing multipartite entanglement between arbitrary systems of Bosons or Fermions. The solution of these equations yields the construction of optimal entanglement witnesses for partial and full entanglement in discrete and continuous variable systems. Our approach unifies the verification of entanglement for distinguishable and indistinguishable particles. We provide general solutions for certain observables to study quantum entanglement in systems with different quantum statistics in noisy environments.