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

Abstract

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 $\mathcal{P}{\mathcal{P}}^{\prime }$, $\mathcal{Q}{\mathcal{Q}}^{\prime }$, $\mathcal{R}{\mathcal{R}}^{\prime }$) and three electrons. The electron spin on GaAs quantum dots $\mathcal{P}{\mathcal{P}}^{\prime }$ is used to encode the unknown qubit. The GaAs quantum dot $\mathcal{Q}{\mathcal{Q}}^{\prime }$ and $\mathcal{R}{\mathcal{R}}^{\prime }$ combine to form {an} entangled state. Alice (the sender) performs a Bell measurement on pairs ($\mathcal{P},\mathcal{Q}$) and (${\mathcal{P}}^{\prime },{\mathcal{Q}}^{\prime }$). 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.

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