Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence

TL;DR

This paper demonstrates that the phenomenon of frozen quantum discord under nondissipative decoherence is universal across all measures of quantum correlations, ensuring noise-resistant quantum communication.

Contribution

It reveals the universality of frozen discord across all bona fide quantum correlation measures under local nondissipative decoherence.

Findings

All measures exhibit constant quantum correlation values during evolution.

Quantum communication protocols remain unaffected by noise under these conditions.

Provides a geometric interpretation of the freezing phenomenon.

Abstract

We show that the phenomenon of frozen discord, exhibited by specific classes of two-qubit states under local nondissipative decoherent evolutions, is a common feature of all known bona fide measures of general quantum correlations. All those measures, despite inducing typically inequivalent orderings on the set of nonclassically correlated states, return a constant value in the considered settings. Every communication protocol which relies on quantum correlations as resource will run with a performance completely unaffected by noise in the specified dynamical conditions. We provide a geometric interpretation of this