Fault-tolerant quantum computation with higher-dimensional systems

Instead of a quantum computer where the fundamental units are 2-dimensional qubits, we can consider a quantum computer made up of d-dimensional system s. There is a straightforward generalization of the class of stabilizer cod es to d-dimensional systems, and I will discuss the theory of fault-toleran t computation using such codes. I prove that universal fault-tolerant compu tation is possible with any higher-dimensional stabilizer code for prime d. Published by Elsevier Science Ltd.