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
( Flash Presentation , Windows Presentation , Windows Video File , 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
Collection: Quantum Error Correction Course 2007
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PIRSA:07030036
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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
Collection: Quantum Error Correction Course 2007
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PIRSA:07030042
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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
Collection: Quantum Error Correction Course 2007
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PIRSA:07030043
( Flash Presentation , Windows Presentation , Windows Video File , 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
Collection: Quantum Error Correction Course 2007
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