PIRSA:C07001 - Quantum Error Correction Course 2007 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

PIRSA:07020021  ( Flash Presentation , Windows Presentation , Windows Video File , 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 Collection: Quantum Error Correction Course 2007 URL: http://pirsa.org/07020021/  Share:

PIRSA:07020022  ( Flash Presentation , Windows Presentation , Windows Video File , 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 Collection: Quantum Error Correction Course 2007 URL: http://pirsa.org/07020022/  Share:

PIRSA:07020023  ( Flash Presentation , Windows Presentation , Windows Video File , 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 Collection: Quantum Error Correction Course 2007 URL: http://pirsa.org/07020023/  Share:

PIRSA:07020024  ( Flash Presentation , Windows Presentation , Windows Video File , 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 Collection: Quantum Error Correction Course 2007 URL: http://pirsa.org/07020024/  Share:

PIRSA:07020028  ( Flash Presentation , Windows Presentation , Windows Video File , 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 Collection: Quantum Error Correction Course 2007 URL: http://pirsa.org/07020028/  Share:

PIRSA:07020029  ( Flash Presentation , Windows Presentation , Windows Video File , 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 Collection: Quantum Error Correction Course 2007 URL: http://pirsa.org/07020029/  Share:

PIRSA:07030016  ( Flash Presentation , Windows Presentation , Windows Video File , 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 Collection: Quantum Error Correction Course 2007 URL: http://pirsa.org/07030016/  Share:

PIRSA:07030017  ( Flash Presentation , Windows Presentation , Windows Video File , 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 Collection: Quantum Error Correction Course 2007 URL: http://pirsa.org/07030017/  Share:

PIRSA:07030022  ( Flash Presentation , Windows Presentation , Windows Video File , 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 Collection: Quantum Error Correction Course 2007 URL: http://pirsa.org/07030022/  Share:

PIRSA:07030023  ( Flash Presentation , Windows Presentation , Windows Video File , 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 Collection: Quantum Error Correction Course 2007 URL: http://pirsa.org/07030023/  Share: