Lorentz invariance of entanglement classes in multipartite systems

TL;DR

This paper investigates how multipartite entanglement classifications behave under Lorentz transformations, emphasizing the importance of particle partitioning and analyzing relativistic effects on spin and momentum entanglement.

Contribution

It derives conditions for Lorentz invariance of entanglement classes and highlights the significance of particle partitioning in relativistic quantum information.

Findings

Lorentz invariance of entanglement classes depends on specific conditions.

Relativistic transformations affect spin and momentum entanglement.

Partitioning the Hilbert space into particles is crucial in relativistic settings.

Abstract

We analyze multipartite entanglement in systems of spin-1/2 particles from a relativistic perspective. General conditions which have to be met for any classification of multipartite entanglement to be Lorentz invariant are derived, which contributes to a physical understanding of entanglement classification. We show that quantum information in a relativistic setting requires the partition of the Hilbert space into particles to be taken seriously. Furthermore, we study exemplary cases and show how the spin and momentum entanglement transforms relativistically in a multipartite setting.