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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:07020021  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 6A
Speaker(s): Daniel Gottesman
Abstract: Examples of qudit stabilizer codes, polynomial codes, Clifford group for qudits, introduction to fault-tolerance, definition of transversal gates, definition of fault-tolerant gates
Date: 13/02/2007 - 3:30 pm

PIRSA:07020022  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 6B
Speaker(s): Daniel Gottesman
Abstract: Transversal Pauli group, transversal Clifford group for 7-qubit code, transversal gates for 5-qubit code, overview of fault-tolerant protocols.
Date: 13/02/2007 - 5:00 pm

PIRSA:07020023  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 7A
Speaker(s): Daniel Gottesman
Abstract: Definition of fault tolerance, Shor error correction, fault-tolerant measurement for stabilizer and CSS codes
Date: 20/02/2007 - 3:30 pm

PIRSA:07020024  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 7B
Speaker(s): Daniel Gottesman
Abstract: Fault-tolerant stabilizer state preparation, Steane error correction, universal fault-tolerant set of gates through gate teleportation, magic state distillation
Date: 20/02/2007 - 5:00 pm

PIRSA:07020028  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 8A
Speaker(s): Daniel Gottesman
Abstract: Assumptions for fault tolerance, extended rectangles, good, bad, and correct rectangles.
Date: 27/02/2007 - 3:30 pm

PIRSA:07020029  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 8B
Speaker(s): Daniel Gottesman
Abstract: Equivalence of fault-tolerant circuit to less noisy unencoded circuits, threshold theorem, calculation of the threshold.
Date: 27/02/2007 - 5:00 pm

PIRSA:07030016  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 9A
Speaker(s): Daniel Gottesman
Abstract: Circuit assumptions for fault tolerance re-examined (other universal gate sets, local gates, fresh ancillas, no measurements, parallelism)
Date: 06/03/2007 - 3:30 pm

PIRSA:07030017  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 9B
Speaker(s): Daniel Gottesman
Abstract: Error assumptions for fault tolerance re-examined (Other error models, correlated errors, leakage errors, coherent and non-Markovian errors)
Date: 06/03/2007 - 5:00 pm

PIRSA:07030022  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 10A
Speaker(s): Daniel Gottesman
Abstract: One- and two-way entanglement distillation protocols, twirling, stabilizer EDPs, definition of quantum channel capacity
Date: 13/03/2007 - 3:30 pm

PIRSA:07030023  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 10B
Speaker(s): Daniel Gottesman
Abstract: One- and two-way quantum capacities for the erasure channel, upper and lower bounds on the quantum capacities for the depolarizing channel, coherent information
Date: 13/03/2007 - 5:00 pm

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