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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:C07001 - Quantum Error Correction Course 2007PODCAST Subscribe to podcast

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.

Organizer(s): Daniel Gottesman  

Collection URL: http://pirsa.org/C07001


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PIRSA:07010014  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 1A
Speaker(s): Daniel Gottesman
Abstract: Administrative introduction, quantum operations, examples of quantum channels, quantum code correcting bit flip errors, quantum code correcting phase errors
Date: 09/01/2007 - 3:30 pm

PIRSA:07010015  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 1B
Speaker(s): Daniel Gottesman
Abstract: 9-qubit Shor code, definition of a quantum error-correcting code, correcting linear combinations of errors, quantum error correction conditions, definition of distance
Date: 09/01/2007 - 5:00 pm

PIRSA:07010020  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 2A
Speaker(s): Daniel Gottesman
Abstract: Stabilizer codes (definition of stabilizer, basic properties of stabilizer, binary vector representation of stabilizer)
Date: 16/01/2007 - 3:30 pm

PIRSA:07010021  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 2B
Speaker(s): Daniel Gottesman
Abstract: 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)
Date: 16/01/2007 - 5:00 pm

PIRSA:07010022  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 3A
Speaker(s): Daniel Gottesman
Abstract: Finite field GF(4), stabilizer codes as GF(4) codes, perfect quantum codes, definition of Clifford group, sample elements of Clifford group
Date: 23/01/2007 - 3:30 pm

PIRSA:07010023  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 3B
Speaker(s): Daniel Gottesman
Abstract: Clifford group as symplectic group, generators of the Clifford group & encoding circuits for stabilizer codes, efficient simulation of Clifford group circuits, efficient simulation of Pauli measurements
Date: 23/01/2007 - 5:00 pm

PIRSA:07010024  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 4A
Speaker(s): Raymond Laflamme
Abstract: Guest lecturer Raymond Laflamme: experimental quantum error correction
Date: 30/01/2007 - 3:30 pm

PIRSA:07010025  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 4B
Speaker(s): Daniel Gottesman
Abstract: Guest lecturer Robert Raussendorf: graph states
Date: 30/01/2007 - 5:00 pm

PIRSA:07020017  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 5A
Speaker(s): Daniel Gottesman
Abstract: Generators of symplectic group, quantum Gilbert-Varshamov bound, quantum Hamming bound, quantum Singleton bound
Date: 06/02/2007 - 3:30 pm

PIRSA:07020018  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 5B
Speaker(s): Daniel Gottesman
Abstract: Weight enumerators, quantum MacWilliams identity, quantum shadow enumerator, higher-dimensional Pauli group, stabilizer codes for qudits
Date: 06/02/2007 - 5:00 pm

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