Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code

Understand

To build a fault-tolerant quantum computer, it is necessary to implement a quantum error correcting code.

• Such codes rely on the ability to extract information about the quantum error syndrome while not destroying the quantum information encoded in the system.
• Stabilizer codes are attractive solutions to this problem, as they are analogous to classical linear codes, have simple and easily computed encoding networks, and allow efficient syndrome extraction.
• In these codes, syndrome extraction is performed via multi-qubit stabilizer measurements, which are bit and phase parity checks up to local operations.