Performance and Error Analysis of Knill's Postselection Scheme in a Two-Dimensional Architecture

Understand

Knill demonstrated a fault-tolerant quantum computation scheme based on concatenated error-detecting codes and postselection with a simulated error threshold of 3% over the depolarizing channel.

• %We design a two-dimensional architecture for fault-tolerant quantum computation based on Knill's postselection scheme.
• We show how to use Knill's postselection scheme in a practical two-dimensional quantum architecture that we designed with the goal to optimize the error correction properties, while satisfying important architectural constraints.
• In our 2D architecture, one logical qubit is embedded in a tile consisting of $5\times 5$ physical qubits.