Quantum computing with particle in a driven square well

Abstract

We show that a particle confined in a one-dimensional square well in the presence of an external periodic linear modulation undergoes coherent oscillations between the discrete levels analogous to an atom exposed to an electromagnetic field. We define the selection rules for state transitions based on the matrix elements of the perturbation potential. These selection rules contribute to the time evolution of the qubit which can partake efficiently in quantum informatics. Quantum logic gates are realized in the square-well potential by controlling the period of modulation. © 2008 Springer Science+Business Media, Inc.