Quantum Error Correction Course 2007

An in-depth introduction to quantum error correction, fault-tolerant quantum computing, and related topics. Covers stabilizer codes, CSS codes, higher-dimensional codes, specific code constructions, entanglement purification protocols, and quantum channel capacity. Also bounds on quantum error correction: quantum Hamming bound, quantum Singleton bound, linear programming bounds and the quantum MacWilliams identity; and principles of fault-tolerant quantum computation: fault-tolerant error measurement, fault-tolerant gate design, the threshold for fault-tolerant quantum computation, and topological fault-tolerance.

 

Tuesday Jan 16, 2007
Speaker(s): 

5-qubit code, logical Pauli group for stabilizer codes, classical linear codes (generator and parity check matrices, Hamming codes), CSS codes (definition, 7-qubit code)

 

Tuesday Jan 16, 2007
Speaker(s): 

Stabilizer codes (definition of stabilizer, basic properties of stabilizer, binary vector representation of stabilizer)

 

Tuesday Jan 09, 2007
Speaker(s): 

9-qubit Shor code, definition of a quantum error-correcting code, correcting linear combinations of errors, quantum error correction conditions, definition of distance

 

Tuesday Jan 09, 2007
Speaker(s): 

Administrative introduction, quantum operations, examples of quantum channels, quantum code correcting bit flip errors, quantum code correcting phase errors

Pages