Experimental realization of controlled quantum teleportation of arbitrary qubit states via cluster states

Abhijeet Kumar,Saeed Haddadi,Prasanta K Panigrahi,Bikash K Behera,Mohammad Reza Pourkarimi

doi:10.1038/s41598-020-70446-8

Abstract

Controlled quantum teleportation involves a third party as a controller for the teleportation of state. Here, we present the novel protocols for controlling teleportation of the arbitrary two-qubit and three-qubit states through five-qubit and seven-qubit cluster states respectively. In these schemes, Alice sends the arbitrary qubit states to the remote receiver Bob through the cluster states as quantum channels under the control of Charlie. Bob can recover the mentioned states by making appropriate unitary operations, and we point out that the efficiency in our schemes is 100%. In the process of our analysis, we find the classical communication cost in our protocols is remarkably reduced when compared to the previous protocols. We perform the experimental realization of the above protocols on “IBM 16 Melbourne” quantum computer and “IBM quantum simulator” and we calculate the fidelity. We also examine the security analysis against Charlie, and these schemes which we considered here are secure against Charlie’s attacks.

Highlights

Controlled quantum teleportation involves a third party as a controller for the teleportation of state
Cluster states are a kind of highly entangled quantum states, and they can be prepared in the following ways: (a) Cluster states can be generated in lattices of spin qubits by interacting them with “Ising type Hamiltonian”56, (b) Cluster states can be generated by spontaneous parametric down-conversion involving photon polarization and non-linear optics57. (c) The cluster states are considered as a particular case of graph states58–61
Cluster states have great importance over quantum teleportation, and they can be used for one-way quantum c omputing55,57, bidirectional quantum computing62, and cyclic quantum c omputing63

Summary

Introduction

Controlled quantum teleportation involves a third party as a controller for the teleportation of state. We use cluster states as quantum channels shared between three parties Alice, Bob and Charlie. The section explains the theoretical and experimental approach of the controlled quantum teleportation protocols for five-qubit and seven-qubit cluster states.

Results

Conclusion