Topological Quantum Codes: Protection by Geometry
Topological quantum codes store information in global properties of a lattice, following Kitaev’s work. Key concepts, implementations and challenges.
Topological quantum codes store information in global properties of a lattice, following Kitaev’s work. Key concepts, implementations and challenges.
Quantum error correction codes and methods: error sources, syndrome measurement, Shor and Steane codes, topological codes and fault tolerance.
How quantum computers work: qubits, superposition, interference, entanglement, gates and circuits, algorithms, and the problem of decoherence.
Quantum error correction codes compared: stabilizer, surface, toric, Bacon-Shor, color and LDPC codes, cat qubits and topological protection.
Quantum error correction strategies explained: bit-flip and phase-flip codes, stabilizers, concatenated codes, surface codes and fault tolerance.
Microsoft’s quantum strategy: Azure Quantum, the bet on topological qubits, the roadmap to a fault-tolerant machine and the Photonic partnership.
A qubit is the basic unit of quantum information. Its states on the Bloch sphere, physical implementations, fragility and the topological approach.