Topological Order, Quantum Codes, and Quantum Computation on Fractal Geometries
Guanyu Zhu, Tomas Jochym-O’Connor, Arpit Dua
Abstract
A thorough investigation of topological order on fractal geometries and exotic gapped boundaries in 3D is performed, uncovering valuable applications in fault-tolerant quantum computation and mathematical contributions to systolic geometry on fractals.
Topics & Concepts
Topology (electrical circuits)Topological orderFractalPhysicsTopological entropy in physicsHomogeneous spaceToric codeOrder (exchange)Topological defectQuantumMathematicsGeometryQuantum mechanicsCombinatoricsTopological quantum numberMathematical analysisEconomicsFinanceQuantum Computing Algorithms and ArchitectureQuantum and electron transport phenomenaQuantum many-body systems