Measure-Independent Freezing of Quantum Coherence

TL;DR

This paper demonstrates that quantum coherence remains unchanged under certain noise channels, regardless of the measure used, if the relative entropy of coherence is frozen, revealing a measure-independent freezing phenomenon.

Contribution

It establishes a necessary and sufficient condition for measure-independent freezing of quantum coherence based on the relative entropy of coherence.

Findings

Coherence is frozen for all measures if the relative entropy of coherence is frozen.

Provides an entropy-based condition for noise resilience of quantum coherence.

Reveals measure-independent freezing phenomenon in open quantum systems.

Abstract

We find that all measures of coherence are frozen for an initial state in a strictly incoherent channel if and only if the relative entropy of coherence is frozen for the state. Our finding reveals the existence of measure-independent freezing of coherence, and provides an entropy-based dynamical condition in which the coherence of an open quantum system is totally unaffected by noise.