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

Inspired by the scenario proposed 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 $P{P}^{\prime }$, $Q{Q}^{\prime }$, $R{R}^{\prime }$) and three electrons. The electron spin on GaAs quantum dots $P{P}^{\prime }$ is used to encode the unknown qubit. The GaAs quantum dot $Q{Q}^{\prime }$ and $R{R}^{\prime }$ combine to form an entangled state. Alice (the sender) performs a Bell measurement on pairs ($P,Q$) and ($P^{\prime },Q^{\prime }$). Depending on the outcome of the measurement, a suitable Hamiltonian for the quantum gate can be used by Bob (the receiver) to transform the information based on spin to charge-based information. This work offers relevant corrections to the misconception in Weng and Kais (2006 Chem. Phys. Lett. 421 338). (paper)