Reducing the quantum computing overhead with complex gate distillation

Understand

In leading fault-tolerant quantum computing schemes, accurate transformation are obtained by a two-stage process.

• In a first stage, a discrete, universal set of fault-tolerant operations is obtained by error-correcting noisy transformations and distilling resource states.
• In a second stage, arbitrary transformations are synthesized to desired accuracy by combining elements of this set into a circuit.
• Here, we present a scheme which merges these two stages into a single one, directly distilling complex transformations.