Stabilizer Codes for Continuous-variable Quantum Error Correction

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dc.creatorBarnes, Richard L.
dc.date2004-05-13
dc.date.accessioned2026-07-07T06:09:43Z
dc.date.available2026-07-07T06:09:43Z
dc.descriptionA generalization of the stabilizer code construction presented by Gottesman is described, which allows for the construction of quantum error-correcting codes for continuous-variable systems. This formalism describes all continuous-variable codes presented to date, and can be used to construct new codes based on discrete-variable codes or classical codes. We use it to describe the nine-mode code given by Lloyd and Slotine, and a five-mode code described by Braunstein. In addition, we construct a new continuous-variable code based an code of Gottesman which encodes three logical modes of information into eight physical modes and corrects one error. This generalization is a step toward an independent understanding of continuous-variable quantum information and a theory of fault-tolerant quantum information processing.
dc.identifierhttps://arxiv.org/abs/quant-ph/0405064
dc.identifierhttp://arxiv.org/abs/quant-ph/0405064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92056
dc.subjectQuantum Physics
dc.titleStabilizer Codes for Continuous-variable Quantum Error Correction
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