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Quantum Error Correction 1A
Daniel Gottesman - University of Maryland, College Park
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Quantum Error Correction 1B
Daniel Gottesman - University of Maryland, College Park
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Quantum Error Correction 2A
Daniel Gottesman - University of Maryland, College Park
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Quantum Error Correction 2B
Daniel Gottesman - University of Maryland, College Park
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Quantum Error Correction 3A
Daniel Gottesman - University of Maryland, College Park
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Quantum Error Correction 3B
Daniel Gottesman - University of Maryland, College Park
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Quantum Error Correction 4B
Daniel Gottesman - University of Maryland, College Park
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Quantum Error Correction 5A
Daniel Gottesman - University of Maryland, College Park
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Quantum Error Correction 5B
Daniel Gottesman - University of Maryland, College Park
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Quantum Error Correction 6A
Daniel Gottesman - University of Maryland, College Park
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Quantum Error Correction 6B
Daniel Gottesman - University of Maryland, College Park
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.