Coherence and entanglement under three qubit cloning operations

TL;DR

This paper investigates how three-qubit quantum cloning operations affect coherence and entanglement, revealing conditions under which these quantum resources are preserved, maximized, or vanish, and proposing a universal coherence machine.

Contribution

It introduces a detailed analysis of coherence and entanglement dynamics under various three-qubit cloning operations, including the design of a universal coherence machine.

Findings

Incoherent cloning operations can eliminate both coherence and entanglement.

Coherent cloning can produce maximal entanglement even with negligible input coherence.

A fixed entanglement output can be achieved regardless of input state properties.

Abstract

Coherence and entanglement are the two most crucial resources for various quantum information processing tasks. Here, we study the interplay of coherence and entanglement under the action of different three qubit quantum cloning operations. Considering certain well-known quantum cloning machines (input state independent and dependent), we provide examples of coherent and incoherent operations performed by them. We show that both the output entanglement and coherence could vanish under incoherent cloning operations. Coherent cloning operations on the other hand, could be used to construct a universal and optimal coherence machine. It is also shown that under coherent cloning operations the output two qubit entanglement could be maximal even if the input coherence is negligible. Also it is possible to generate a fixed amount of entanglement independent of the nature of the input state.