Stability of topologically-protected quantum computing proposals as seen through spin glasses

Understand

Sensitivity to noise makes most of the current quantum computing schemes prone to error and nonscalable, allowing only for small proof-of-principle devices.

• Topologically-protected quantum computing aims at solving this problem by encoding quantum bits and gates in topological properties of the hardware medium that are immune to noise that does not impact the entire system at once.
• There are different approaches to achieve topological stability or active error correction, ranging from quasiparticle braidings to spin models and topological color codes.
• The stability of these proposals against noise can be quantified by their error threshold.