The relation of genuine multiqubit entanglement and controlled teleportation

TL;DR

This paper establishes a criterion for faithful controlled teleportation of multi-qubit states using five-qubit entangled states, linking genuine multiqubit entanglement with controlled teleportation and extending to N-qubit states.

Contribution

It introduces a criterion for controlled teleportation with five-qubit states and generalizes it to N-qubit states, connecting multiqubit entanglement with teleportation protocols.

Findings

Criterion for faithful controlled teleportation of two-qubit states.

Extension of the criterion to N-qubit states using 2N+1-qubit entangled states.

Analysis of optimal measurement basis and quantum channel matching.

Abstract

Recently, Paolo Facchi et al. [Phys. Rev. A. 77, 060304 (R) (2008)] introduced the notion of maximally multipartite entangled states of n qubits. Here, we give a criterion for faithful controlled teleportation of an arbitrary two-qubit state via a five-qubit entangled state and obtain the general relation between the genuine five-qubit entangled state and controlled teleportation. This criterion can be extended to teleportation of an arbitrary N-qubit state using 2N+1-qubit entangled state. Furthermore, we study the optimal match of measuring basis and quantum channel.