Spintronic single-qubit gate based on aΠ-shaped lateral quantum dot with spin-orbit interaction

Abstract

In a quantum nanometric lateral quantum dot (QD) with a $\ensuremath{\Pi}$ geometry the spin properties of a single electron injected in the Coulomb blockade regime are modified by the spin-orbit interaction, resulting in a transformation of the qubit state carried by the spin. The $\ensuremath{\Pi}$-shaped QD acts as a one-qubit spintronic quantum gate whose properties can be varied by tuning the Rashba parameter of the spin-orbit interaction, by changing the relative position of the junctions, as well as by modifying the length of the transverse legs. We discuss how a large class of transformations can be attained with already one $\ensuremath{\Pi}$ nanojunction or a few $\ensuremath{\Pi}$ nanojunctions in series.