Fault-tolerant operation of a logical qubit in a diamond quantum processor

Synopsis

Future quantum systems will require error-corrected logical qubits that are operated fault-tolerantly. Although this remains an outstanding goal for quantum science, this paper describes a modified implementation of a 5-qubit stabilizer code with a flag for errors using nuclear spins in diamond. They begin by encoding the logical qubit and show that it outperforms non-fault-tolerant encoding schemes, and they conclude by demonstrating a series of stabilizer measurements. This implementation of fault-tolerance represents a milestone for both solid-state quantum computing and quantum information technologies. I will be discussing both their implementation of a diamond quantum processor using nitrogen-vacancy centers coupled to neighboring Carbon-13 atoms as well as their implementation of the stabilizer code. 

The publication may be found in the link below:

https://www.nature.com/articles/s41586-022-04819-6#Sec9