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Electron localized in a quantum dot in the vicinity of conductor surface, causes an induced potential to appear. This potential enables self-focusing of electron wave function. Because of this feature, in a planar nanostructure consisting of a quantum well covered with a layer of an insulator, on top of which metal electrodes are deposited, formation of induced dots and quantum wires is possible. By applying appropriate voltages to the electrodes, it is feasible to transport an electron in a fully controllable way in a form of a stable wave packet between two specific locations in a nanodevice. While transporting an electron along properly shaped closed loops, spin-orbit coupling intrinsically present in a semiconductor nanostructure can be employed to perform operations on an electron spin.
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