An Introduction to Quantum Error Correction

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dc.creatorGottesman, Daniel
dc.date2000-04-18
dc.date.accessioned2026-07-07T05:59:52Z
dc.date.available2026-07-07T05:59:52Z
dc.descriptionQuantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum error-correcting codes has some close ties to and some striking differences from the theory of classical error-correcting codes. Many quantum codes can be described in terms of the stabilizer of the codewords. The stabilizer is a finite Abelian group, and allows a straightforward characterization of the error-correcting properties of the code. The stabilizer formalism for quantum codes also illustrates the relationships to classical coding theory, particularly classical codes over GF(4), the finite field with four elements.
dc.description15 pages, AMSLaTeX, talk given at AMS Short Course on Quantum Computation
dc.identifierhttps://arxiv.org/abs/quant-ph/0004072
dc.identifierhttp://arxiv.org/abs/quant-ph/0004072
dc.identifierin Quantum Computation: A Grand Mathematical Challenge for the Twenty-First Century and the Millennium, ed. S. J. Lomonaco, Jr., pp. 221-235 (American Mathematical Society, Providence, Rhode Island, 2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88843
dc.subjectQuantum Physics
dc.titleAn Introduction to Quantum Error Correction
dc.typetext

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