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In this paper, we studied the inter-valley interactions between the orbitalfunctions associated with multi-valley of silicon (Si) quantum dots. Numericalcalculations show that the inter-valley coupling between orbital functionsincreases rapidly with an applied electric field. We also considered thepotential applications to the quantum bit operation utilizing controlledinter-valley interactions. Quantum bits are the multi-valley symmetric andanti-symmetric orbitals. Evolution of these orbitals would be controlled by anexternal electric field which turns on and off the inter-valley interactions.Estimates of the decoherence time are made for the longitudinal acoustic phononprocess. Elementary single and two qubit gates are also proposed

Intervalley interactions in Si quantum dots