Dynamics of coherence-induced state ordering under Markovian channels

Abstract

We study the dynamics of coherence-induced state ordering under incoherent channels, particularly four specific Markovian channels: amplitude damping channel, phase damping channel, depolarizing channel and bit flit channel for single-qubit states. We show that the amplitude damping channel, phase damping channel, and depolarizing channel do not change the coherence-induced state ordering by l₁ norm of coherence, relative entropy of coherence, geometric measure of coherence, and Tsallis relative α-entropies, while the bit flit channel does change for some special cases.

Keywords

l ₁-norm of coherence / relative entropy of coherence / geometric measure of coherence / Tsallis relative α-entropies of coherence / ordering state

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