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

TL;DR

This paper investigates how concatenating Yang-Baxter matrices, which model unitary quantum channels, can enhance and preserve quantum coherence in noisy environments, enabling better quantum information processing.

Contribution

It demonstrates that specific concatenations of Yang-Baxter matrices can mitigate coherence loss and maximize coherence post-channel, a novel approach to coherence preservation.

Findings

Concatenation of Yang-Baxter matrices can improve quantum coherence.

Proper parameter choices maximize coherence after channel action.

Maximal coherence can be achieved even in noisy environments.

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.