Quantum Abacus

Abstract

We show that the U(2) family of point interactions on a line can be utilized to provide the U(2) family of qubit operations for quantum information processing. Qubits are realized as localized states in either side of the point interaction which represents a controllable gate. The manipulation of qubits proceeds in a manner analogous to the operation of an abacus. Keywords: quantum computation, quantum contact interaction, quantum wire

4 Pages ReVTeX4 with 3 figures

References in corpus (3)

• Moebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction
• An approximation to ${\delta }^{\prime }$ couplings on graphs
• Quantum Tunneling and Caustics under Inverse Square Potential

Cited by in corpus (7)

• Accurate numerical solutions of the time-dependent Schrödinger equation
• Green's function approach for quantum graphs: an overview
• A general approximation of quantum graph vertex couplings by scaled Schroedinger operators on thin branched manifolds
• Singular Potentials in Quantum Mechanics and Ambiguity in the Self-Adjoint Hamiltonian
• Boundary effect of a partition in a quantum well
• Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions
• Locational Qubit Realization with One-dimensional Contact Interactions