Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks

Understand

We present a scalable architecture for fault-tolerant topological quantum computation using networks of voltage-controlled Majorana Cooper pair boxes, and topological color codes for error correction.

• Color codes have a set of transversal gates which coincides with the set of topologically protected gates in Majorana-based systems, namely the Clifford gates.
• In this way, we establish color codes as providing a natural setting in which advantages offered by topological hardware can be combined with those arising from topological error-correcting software for full-fledged fault-tolerant quantum computing.
• We provide a complete description of our architecture including the underlying physical ingredients.