How does topological quantum computing promise to solve the error problem?

The answer

Topological quantum computing encodes information in the braiding patterns of exotic quasiparticles called non-abelian anyons, making qubits inherently resistant to local perturbations and decoherence. Unlike conventional quantum computers requiring thousands of physical qubits per logical qubit for error correction, topological qubits would be protected by the mathematics of topology itself. In 2023, Microsoft announced evidence of Majorana zero modes - the key building block - in indium arsenide-aluminum hybrid nanowires, though independent verification remains ongoing. Quantinuum and Microsoft demonstrated in 2024 that combining topological protection with conventional error correction could reduce overhead dramatically. If successful, this approach could make fault-tolerant quantum computing achievable with far fewer physical qubits than competing approaches.