Performance of quantum cloning and deleting machines over coherence

TL;DR

This paper investigates how quantum cloning and deleting machines affect quantum coherence, showing cloning as a coherence-generating process and deleting as a coherence-degrading process, with fidelity linked to coherence changes.

Contribution

It provides a novel analysis of quantum coherence dynamics during cloning and deleting, highlighting their dual roles in coherence manipulation.

Findings

Cloning acts as a cohering process increasing quantum coherence.

Deleting functions as a decohering process reducing quantum coherence.

Fidelity correlates with coherence generation and consumption.

Abstract

Coherence, being at the heart of interference phenomena, is found to be an useful resource in quantum information theory. Here we want to understand quantum coherence under the combination of two fundamentally dual processes, viz., cloning and deleting. We found the role of quantum cloning and deletion machines with the consumption and generation of quantum coherence. We establish cloning as a cohering process and deletion as a decohering process. Fidelity of the process will be shown to have connection with coherence generation and consumption of the processes.