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arXiv:1704.05294 · Quantum Information Processing

Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state

Mitali Sisodia, Abhishek Shukla, Kishore Thapliyal, Anirban Pathak

Published Oct 25, 2017• 70 citations
arXivHTMLPDF
DOI
10.1007/s11128-017-1744-2

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We propose a feasible scheme of conditional quantum partial teleportation of a qubit as optimal asymmetric cloning at a distance. In this scheme, Alice preserves one imperfect clone whereas other clone is teleported to Bob. Fidelities of the clones can be simply controlled by an asymmetry in Bell-state measurement. The optimality means that tightest inequality for the fidelities in the asymmetric cloning is saturated. Further we design a conditional teleportation as symmetric optimal $N\ensuremath{\rightarrow}N+1$ cloning from NNN Alice's replicas on single distant clone. We shortly discussed two feasible experimental implementations, first one for teleportation of polarization state of a photon and second one for teleportation of a time-bin qubit.
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.