A Factorization Law for Entanglement Decay

TL;DR

This paper introduces a universal factorization law that simplifies understanding how entanglement decays over time when quantum systems pass through noisy channels, aiding in the assessment of quantum protocol robustness.

Contribution

It proposes a novel, simple factorization law that universally describes entanglement decay in bipartite quantum systems under noise.

Findings

Provides a universal formula for entanglement decay

Enables easy characterization of quantum protocol robustness

Simplifies analysis of entanglement dynamics in noisy environments

Abstract

We present a simple and general factorization law for quantum systems shared by two parties, which describes the time evolution of entanglement upon passage of either component through an arbitrary noisy channel. The robustness of entanglement-based quantum information processing protocols is thus easily and fully characterized by a single quantity.