Local cloning of genuine entangled states of three qubit

TL;DR

This paper investigates the feasibility of locally cloning genuine three-qubit entangled states, revealing that GHZ states can be cloned with known states, but W states cannot, highlighting fundamental differences in their cloneability.

Contribution

It demonstrates the contrasting cloneability of GHZ and W states under local operations, providing new insights into the limitations of quantum cloning for multipartite entangled states.

Findings

GHZ states can be cloned using known GHZ states.

W states cannot be cloned with any known three-qubit state.

Cloning feasibility depends on the type of entangled state.

Abstract

We discuss (im)possibility of the exact cloning of orthogonal but genuinely entangled three qubit states aided with entangled ancila under local operation and classical communication. Whereas any two orthogonal GHZ states taken from the canonical GHZ basis, can be cloned with the help of a known GHZ state, surprisingly we find that no two W states can be cloned by using any known three qubit (possibly entangled) state as blank copy.