Guia docente 2023_24 Escola de Enxeñaría de Telecomunicación

Contents

Topic	Sub-topic
Module 1: Quantum Errors	• Overview of quantum errors and their sources. • Decoherence and noise in open quantum systems • Quantum error models and error types. • Digitization of quantum noise. Error operators.
Module 2: Fundamentals of Quantum Error Correction	• From classical to quantum error correction • The three-qubit error correction code • The nine-qubit Shor code • Quantum error correction conditions • The quantum Hamming bound
Module 3: Constructing quantum codes	• Classical linear codes • Calderbank-Shor-Steane (CSS) codes
Module 4: Stablizer codes	• The stabilizer formalism • Measurement in the stabilizer formalism • Stabilizer code constructions • Quantum circuits for encoding, decoding and correction
Module 5. Topological stabilizer codes	· Z2 chains - Surface codes on a torus · Planar surface codes · Topological quantum error correction
6. Fault-tolerant quantum computing	· Fault tolerance in quantum computing · Fault-tolerant quantum error correction · Coded operations with fault tolerance