Locational Qubit Realization with One-dimensional Contact Interactions

We show that the U(2) group structure of thin barriers can be adopted for quantum information processing when used in combination with environmental potential whose bouncing modes are profile preserving. Qubits are realized as wave functions localized in either side of the barrier which divides the one-dimensional system into two regions. It is argued that this model is a theoretical prototype of a robust and scalable quantum computing device. Keywords: Quantum Computation, Quantum Wire, Quantum Contact Interaction