Universal freezing of quantum correlations within the geometric approach

TL;DR

This paper demonstrates that geometric measures of quantum correlations universally exhibit a freezing phenomenon during certain quantum evolutions, regardless of the specific distance function used, highlighting a fundamental property of quantum systems.

Contribution

It proves from first principles that the freezing of geometric quantum correlations is universal across all distance functions satisfying natural conditions.

Findings

Freezing of quantum correlations occurs during specific quantum evolutions.

The phenomenon is independent of the choice of distance function.

Results have implications for noisy quantum technologies.

Abstract

Quantum correlations in a composite system can be measured by resorting to a geometric approach, according to which the distance from the state of the system to a suitable set of classically correlated states is considered. Here we show that all distance functions, which respect natural assumptions of invariance under transposition, convexity, and contractivity under quantum channels, give rise to geometric quantifiers of quantum correlations which exhibit the peculiar freezing phenomenon, i.e., remain constant during the evolution of a paradigmatic class of states of two qubits each independently interacting with a non-dissipative decohering environment. Our results demonstrate from first principles that freezing of geometric quantum correlations is independent of the adopted distance and therefore universal. This finding paves the way to a deeper physical interpretation and future practical exploitation of the phenomenon for noisy quantum technologies.