Usefulness of classical communication for local cloning of entangled states

Abstract

We solve the problem of the optimal cloning of pure entangled two-qubit states with a fixed degree of entanglement using local operations and classical communication. We show, that amazingly, classical communication between the parties can improve the fidelity of local cloning if and only if the initial entanglement is higher than a certain critical value. It is completely useless for weakly entangled states. We also show that bound entangled states with positive partial transpose are not useful as a resource to improve the best local cloning fidelity.

6 pages, RevTeX4, 2 figures, published version

References in corpus (6)

• Distributed quantum dense coding
• Bound entanglement provides convertibility of pure entangled states
• Local copying of orthogonal entangled quantum states
• Cloning quantum entanglement in arbitrary dimensions
• Dual entanglement measures based on no local cloning and no local deleting
• Optimal copying of entangled two-qubit states

Cited by in corpus (3)

• Quantum discord and its allies: a review
• Completely positive covariant two-qubit quantum processes and optimal quantum NOT operations for entangled qubit pairs
• Optimal and covariant single-copy LOCC transformation between two two-qubit states