Entanglement evolution in finite dimensions

TL;DR

This paper derives a simple, universal relation describing how entanglement between two d-level quantum systems evolves under arbitrary physical processes, capturing the dynamics with a single quantity.

Contribution

It introduces a universal relation for entanglement evolution in finite-dimensional systems, simplifying the understanding of entanglement dynamics under various processes.

Findings

Entanglement evolution is governed by a simple, universal relation.

The dynamics are fully characterized by a single quantity.

Applicable to arbitrary physical processes on d-level systems.

Abstract

We provide a relation which describes how the entanglement of two d-level systems evolves as either system undergoes an arbitrary physical process. The dynamics of the entanglement turns out to be of a simple form, and is fully captured by a single quantity.