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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:07030035  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 11A
Speaker(s): Daniel Gottesman
Abstract: Toric code (definition, fault-tolerance, particle model of errors), definition of qudit toric code
Date: 20/03/2007 - 3:30 pm

PIRSA:07030036  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 11B
Speaker(s): Daniel Gottesman
Abstract: Behavior of particles in qudit toric code, braid group, basic idea of fault tolerance with non-Abelian anyons
Date: 20/03/2007 - 5:00 pm

PIRSA:07030042  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 12A
Speaker(s): Daniel Gottesman
Abstract: Non-Abelian anyons (charges, fusion rules, F and R matrices, pentagon and hexagon equations), Fibonacci anyons
Date: 27/03/2007 - 3:30 pm

PIRSA:07030043  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Quantum Error Correction 12B
Speaker(s): Daniel Gottesman
Abstract: Universality of Fibonacci anyons, operator quantum error correction, Bacon-Shor codes
Date: 27/03/2007 - 5:00 pm

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