Quantum Error Correction, an informal introduction Andrew M. Steane Center for Quantum Computation, University of Oxford

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This page contains an informal introduction to quantum error correction, based around a series of pictures and diagrams.

Controlling a system using feedback

• Tutorial

  - "A tutorial on quantum error correction," A. M. Steane, Proceedings of the International School of Physics ``Enrico Fermi", course CLXII, ``Quantum Computers, Algorithms and Chaos'', G. Casati, D. L. Shepelyansky and P. Zoller, eds., pp. 1--32 (IOS Press, Amsterdam 2006). Arxiv pre-print, quant-ph/.

• Threshold and fault tolerant methods:

  - "Overhead and noise threshold of fault-tolerant quantum error correction," A. M. Steane, Phys. Rev. A 68, 042322 (2003). Also quant-ph/0207119.

  - "Quantum computer architecture for fast entropy extraction," A. M. Steane, Quantum Information and Computation 2, 297-306 (2002). Also quant-ph/0203047.

• Some early papers:

  - "Simple Quantum Error Correcting Codes," A. M. Steane, Phys.Rev. A 54, 4741 (1996). Also quant-ph/9605021.

  - "Multiple Particle Interference and Quantum Error Correction," A. M. Steane, Proc.Roy.Soc.Lond. A 452, 2551 (1996). Also quant-ph/9601029.

  - "Error correcting codes in quantum theory," A. M. Steane, Phys. Rev. Lett. 77, 793-797 (1996).

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