Complete complementarity relations in system-environment decoherent dynamics

TL;DR

This paper explores how quantum information, especially entanglement, redistributes in system-environment interactions under various noisy channels using complete complementarity relations.

Contribution

It introduces a framework connecting entanglement, coherence, and correlations in open quantum systems through complementarity relations.

Findings

Entanglement can be expressed via multipartite coherence.

Wave and particle aspects can increase or decrease together.

Linear entropy acts as a correlation measure with the environment.

Abstract

We investigate the system-environment information flow from the point of view ofcomplete complementarity relations. We consider some commonly used noisy quantum channels:Amplitude damping, phase damping, bit flip, bit-phase flip, phase flip, depolarizing, and correlatedamplitude damping. By starting with an entangled bipartite pure quantum state, with the linearentropy being the quantifier of entanglement, we study how entanglement is redistributed and turnedinto general correlations between the degrees of freedom of the whole system. For instance, it ispossible to express the entanglement entropy in terms of the multipartite quantum coherence or interms of the correlated quantum coherence of the different partitions of the system. In addition,we notice that for the depolarizing and bit-phase flip channels the wave and particle aspects candecrease or increase together. Besides, by considering the environment as part of a pure quantumsystem, the linear entropy is shown to be not just a measure of mixedness of a particular subsystem,but a correlation measure of the subsystem with rest of the world.