Experimental realization of quantum teleportation of arbitrary single and two-qubit states via hypergraph states

TL;DR

This paper demonstrates the experimental realization of quantum teleportation of arbitrary single and two-qubit states using hypergraph states, showcasing the process on IBM quantum devices and analyzing fidelity and errors.

Contribution

It introduces hypergraph states for quantum teleportation and demonstrates their experimental implementation for arbitrary qubit states on real quantum hardware.

Findings

Successful teleportation of single and two-qubit states on IBM quantum devices.

Fidelity analysis shows errors due to decoherence and gate imperfections.

Hypergraph states are effective resources for quantum teleportation.

Abstract

Here we demonstrate quantum teleportation through hypergraph states, which are the generalization of graph states, and due to their non-local entanglement properties, it allows us to perform quantum teleportation. Here we design some hypergraph states useful for quantum teleportation and process the schemes for quantum teleportation of single-qubit and two-qubit arbitrary states via three-uniform three-qubit and four-qubit hypergraph states respectively. We explicate the experimental realization of quantum teleportation of both single and two-qubit arbitrary states. Then we run our quantum circuits on the IBM quantum experience platform, where we present the results obtained by both the simulator and real devices such as "ibmq_qasm_simulator" and "ibmq_16_melbourne" and calculate the fidelity. We observe that the real device has some errors in comparison to the simulator, these errors are due to the decoherence effect in the quantum channel and gate errors. We then illustrate the experimental and theoretical density matrices of teleported single and two-qubit states.