Encoding a qubit in an oscillator

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dc.creatorGottesman, Daniel
dc.creatorKitaev, Alexei
dc.creatorPreskill, John
dc.date2000-08-08
dc.date2001-05-13
dc.date.accessioned2026-07-07T12:17:06Z
dc.date.available2026-07-07T12:17:06Z
dc.descriptionQuantum error-correcting codes are constructed that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of a system described by continuous quantum variables. These codes exploit the noncommutative geometry of phase space to protect against errors that shift the values of the canonical variables q and p. In the setting of quantum optics, fault-tolerant universal quantum computation can be executed on the protected code subspace using linear optical operations, squeezing, homodyne detection, and photon counting; however, nonlinear mode coupling is required for the preparation of the encoded states. Finite-dimensional versions of these codes can be constructed that protect encoded quantum information against shifts in the amplitude or phase of a d-state system. Continuous-variable codes can be invoked to establish lower bounds on the quantum capacity of Gaussian quantum channels.
dc.description22 pages, 8 figures, REVTeX, title change (qudit -> qubit) requested by Phys. Rev. A, minor corrections
dc.identifierhttps://arxiv.org/abs/quant-ph/0008040
dc.identifierhttp://arxiv.org/abs/quant-ph/0008040
dc.identifierPhys.Rev.A64:012310,2001
dc.identifierdoi:10.1103/PhysRevA.64.012310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212008
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleEncoding a qubit in an oscillator
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