Conditional Aharonov-Bohm Phases with Double Quantum Dots

A quantum dot proposal for the implementation of topological quantum computation is presented. The coupling of the electron charge to an external magnetic field via the Aharonov-Bohm effect, combined with the control dynamics of a double dot, results in a two-qubit control phase gate. The physical mechanisms of the system are analysed in detail and the conditions for performing quantum computation resilient to control errors are outlined and found to be realisable with present technology.