|
Teaching GuideTerm Faculty of Computer Science |
| Máster Universitario en Ciencia e Tecnoloxías de Información Cuántica |
 Subjects |
| Error Correction Codes |
| Contents |
| Identifying Data | 2023/24 | |||||||||||||
| Subject | Error Correction Codes | Code | 614551013 | |||||||||||
| Study programme |
|
|||||||||||||
| Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
| Official Master's Degree | 2nd four-month period |
First | Optional | 3 | ||||||||||
|
||||||||||||||
| Topic | Sub-topic |
| Quantum errors | - Overview of quantum errors and their sources - Decoherence and noise in open quantum systems - Types of errors and error channel models - Digitization of quantum noise. Error operators |
| Fundamentals of quantum error correction error correction |
- From Classical to Quantum Error Correction - The three-qubit error correction code - The nine-qubit Shor code - Conditions of quantum error correction - The quantum Hamming limit |
| Construction of quantum codes | - Classical linear block codes - Calderbank-Shor-Steane Codes (CSS) |
| Stabilizer codes | - The stabilizer formalism - Measurement in the stabilizer formalism - Constructions of stabilizer codes - Quantum circuits for coding, decoding and correction |
| Topological stabilizing codes | - The Z2 chain complex - Surface codes on a torus: toric codes - Flat surface codes - Topological quantum error correction |
| Fault-tolerant quantum computing | - Fault tolerance in quantum computing - Fault-tolerant error correction - Fault-tolerant coded operations |
|
