Evolution equation for geometric quantum correlation measures

TL;DR

This paper derives a simple evolution equation for geometric quantum correlation measures, revealing a factorization decay behavior under local quantum channels, which simplifies analyzing quantum protocols.

Contribution

It introduces a universal relation for the dynamics of geometric quantum correlations during quantum information processes, applicable to various protocols and quantum channels.

Findings

Quantum correlations decay factorization under local channels.

Relation simplifies evaluation of quantum tasks.

Identifies quantum states for which the relation holds.

Abstract

A simple relation is established for the evolution equation of quantum information processing protocols such as quantum teleportation, remote state preparation, Bell-inequality violation and particularly dynamics of the geometric quantum correlation measures. This relation shows that when the system traverses the local quantum channel, various figures of merit of the quantum correlations for different protocols demonstrate a factorization decay behavior for dynamics. We identified the family of quantum states for different kinds of quantum channels under the action of which the relation holds. This relation simplifies the assessment of many quantum tasks.