Dynamics of the quantum coherence under the concatenation of Yang-Baxter matrix

Abstract

The non-increasing behavior of quantum coherence during any incoherent quantum process such as an incoherent quantum channel occurring in a noisy environment is a general property of quantum coherence. We address that the concatenation of the quantum Yang-Baxter matrix, which models a unitary quantum channel, can mitigate these losses by offering relative improvements in the coherence for different initial states prepared by two different strategies. By appropriate choice of the parameters, even after the action of the channel the coherence is maximized such that the reduced state of the output is maximally coherent. These make it possible to create maximal coherence in realizing any quantum information task in a noisy environment.