Self-correcting quantum teleportation protocol

In this work, we propose a self-correcting quantum teleportation protocol capable of transmitting a three-qubit Greenberger-Horne-Zeilinger-type (GHZ-type) state through a four-qubit quantum state in the presence of collective Bit-Flip Noise. We show that the protocol can self-correct the noise effect on the teleportation process, resulting in perfect state transfer with unit fidelity and probability. We also show that the proposed protocol has up to 33.3% lower quantum gate resource cost than a conventional combination of quantum error correction and teleportation protocols. Furthermore, we discuss the protocol’s generalization in teleporting N-qubit GHZ-type state, with N being any integer. Lastly, we simulate the proposed protocol under the noise in Qiskit and show that it can be implemented well.