Single-shot error correction on toric codes with high-weight stabilizers

Understand

For quantum error correction codes the required number of measurement rounds typically increases with the code distance when measurements are faulty.

• Single-shot error correction allows for an error threshold with only one round of noisy syndrome measurements regardless of the code size.
• Here we implement single-shot check operators for toric codes.
• The single-shot checks are constructed by Gaussian elimination following Campbell [Campbell, 2019].