arXiv:quant-ph/9702029AbstractReferencesReviewsResources
A Theory of Fault-Tolerant Quantum Computation
Published 1997-02-12, updated 1997-02-18Version 2
In order to use quantum error-correcting codes to actually improve the performance of a quantum computer, it is necessary to be able to perform operations fault-tolerantly on encoded states. I present a general theory of fault-tolerant operations based on symmetries of the code stabilizer. This allows a straightforward determination of which operations can be performed fault-tolerantly on a given code. I demonstrate that fault-tolerant universal computation is possible for any stabilizer code. I discuss a number of examples in more detail, including the five-qubit code.
Comments: 30 pages, REVTeX, universal swapping operation added to allow universal computation on any stabilizer code
Journal: Phys.Rev.A57:127,1998
Categories: quant-ph
Keywords: fault-tolerant quantum computation, fault-tolerant universal computation, five-qubit code, quantum computer, perform operations
Tags: journal article
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