Distribution and dynamics of entanglement in high-dimensional quantum systems using convex-roof extended negativity

TL;DR

This paper extends the theory of entanglement distribution and dynamics to high-dimensional qudit systems using convex-roof extended negativity, connecting different entanglement networks and generalizing previous qubit results.

Contribution

It introduces a generalized framework for entanglement in qudit systems, unifying distribution and dynamics analyses with convex-roof extended negativity.

Findings

Generalization of entanglement distribution results to qudit systems

Extension of entanglement dynamics analysis to high-dimensional systems

Establishment of a relation between entanglement networks

Abstract

We develop theories of entanglement distribution and of entanglement dynamics for qudit systems, which incorporate previous qubit formulations. Using convex-roof extended negativity, we generalize previous qubit results for entanglement distribution with isotropic states and for entanglement dynamics with the depolarizing channel, and we establish a relation between these two types of entanglement networks.