Overview

• The non-semisimple topological quantum field theory framework retains previously discarded ‘quantum-trace-zero’ objects and reveals a new anyon, the neglecton.
• By braiding Ising anyons around a single stationary neglecton, the team demonstrated a complete set of quantum logic gates required for universal topological quantum computing.
• The researchers developed a scheme to quarantine mathematical irregularities that would violate unitarity, ensuring that all computational operations remain within fully unitary sectors.
• Ongoing work aims to generalize the framework to additional parameter regimes and to deepen understanding of unitarity in non-semisimple theories.
• Collaborative efforts with experimental groups are seeking real-world materials and fabrication protocols to trap and braid neglectons for fault-tolerant qubit implementations.