Fault-tolerant quantum gates with defects in topological stabilizer codes
Paul Webster, Stephen D. Bartlett
Abstract
Universal quantum computing by braiding defects in topological stabilizer codes of any dimension is proven to be impossible. Notwithstanding this no-go theorem, it is shown how braiding defects can yield all Clifford gates in three or more dimensions, and that universal quantum computing in three-dimensional surface codes is possible by supplementing braiding with adaptive gates.
Topics & Concepts
Stabilizer (aeronautics)Topology (electrical circuits)Quantum gateQuantum computerDimension (graph theory)QuantumMathematicsComputer sciencePhysicsQuantum mechanicsPure mathematicsEngineeringCombinatoricsMechanical engineeringQuantum Computing Algorithms and ArchitectureQuantum and electron transport phenomenaQuantum Information and Cryptography