Genuine multipartite system-environment correlations in decoherent dynamics

TL;DR

This paper introduces new measures for genuine multipartite correlations using relative entropy and analyzes how different decoherence channels affect the spread of correlations in a two-qubit system interacting with local environments.

Contribution

It proposes novel quantifiers for multipartite correlations and compares their behavior under amplitude- and phase-damping channels in decoherent dynamics.

Findings

Phase-noise channels convert bipartite correlations into genuine multiparticle correlations.

Amplitude-damping channels have different effects on correlation spreading.

Changes in the behavior of total correlations are identified for three- and four-partite cases.

Abstract

We propose relative entropy-based quantifiers for genuine multipartite total, quantum, and classical correlations. These correlation measures are applied to investigate the generation of genuine multiparticle correlations in decoherent dynamics induced by the interaction of two qubits with local- independent environments. We consider amplitude- and phase-damping channels and compare their capabilities to spread information through the creation of many-body correlations. We identify changes in behavior for the genuine four- and three-partite total correlations and show that, contrary to amplitude environments, phase-noise channels transform the bipartite correlation initially shared between the qubits into genuine multiparticle system-environment correlations.