Teleportation with two-dimensional electron gas formed at the interface of a GaAs heterostructure

Inspired by the scenario by Bennett et al., a teleportation protocol of qubits formed in a two-dimensional electron gas formed at the interface of a GaAs heterostructure is presented. The teleportation is carried out using three GaAs quantum dots (say $\mathcal{P}\mathcal{P}'$, $\mathcal{Q}\mathcal{Q}'$, $\mathcal{R}\mathcal{R}'$) and three electrons. The electron spin on GaAs quantum dots $\mathcal{P}\mathcal{P}'$ is used to encode the unknown qubit. The GaAs quantum dot $\mathcal{Q}\mathcal{Q}'$ and $\mathcal{R}\mathcal{R}'$ combine to form {an} entangled state. Alice (the sender) performs a Bell measurement on pairs ($\mathcal{P},\mathcal{Q}$) and ($\mathcal{P}',\mathcal{Q}'$). Depending on the outcome of {the} measurement, a suitable Hamiltonian for the quantum gate can be used by Bob (receiver) to transform the information based on {a} spin to charge-based information. This work offers relevant corrections to misconception in {\it Chem. Phys. Lett. {\bf421} (2006) 338.