Open Access
Quantum error correction and reversible operations
Carlton M. Caves
- 01 Jan 1998
35
TL;DR: A pedagogical account of Shor's nine-bit code for correcting arbitrary errors on single qubits is given and work that determines when it is possible to maintain quantum coherence by reversing the deleterious effects of open-system quantum dynamics is reviewed.
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Abstract: This article gives a pedagogical account of Shor's nine-bit code for correcting arbitrary errors on single qubits and reviews work that determines when it is possible to maintain quantum coherence by reversing the deleterious effects of open-system quantum dynamics. The review provides an opportunity to introduce an efficient formalism for handling superoperators. Some bounds on entanglement fidelity, which might prove useful in analyses of approximate error correction, are presented and proved.
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Citations
Performance and structure of single-mode bosonic codes
Victor V. Albert,Victor V. Albert,Kyungjoo Noh,Kasper Duivenvoorden,Dylan Young,R. T. Brierley,Philip Reinhold,Christophe Vuillot,Linshu Li,Chao Shen,Steven Girvin,Barbara M. Terhal,Liang Jiang +12 more
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Repository
Bibliographic guide to the foundations of quantum mechanics and quantum information
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References
Quantum Computation and Quantum Information
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