Quantum Error Correction and Orthogonal Geometry

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dc.creatorCalderbank, A. R.
dc.creatorRains, E. M
dc.creatorShor, P. W.
dc.creatorSloane, N. J. A.
dc.date1996-05-09
dc.date1996-07-02
dc.date.accessioned2026-07-07T12:33:20Z
dc.date.available2026-07-07T12:33:20Z
dc.descriptionA group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples. Codes are given which map 3 qubits to 8 qubits correcting 1 error, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors, and 1 to 29 qubits correcting 5 errors.
dc.descriptionRevTex, 4 pages, no figures, submitted to Phys. Rev. Letters. We have changed the statement of Theorem 2 to correct it -- we now get worse rates than we previously claimed for our quantum codes. Minor changes have been made to the rest of the paper
dc.identifierhttps://arxiv.org/abs/quant-ph/9605005
dc.identifierhttp://arxiv.org/abs/quant-ph/9605005
dc.identifierPhys.Rev.Lett.78:405-408,1997
dc.identifierdoi:10.1103/PhysRevLett.78.405
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217092
dc.subjectQuantum Physics
dc.titleQuantum Error Correction and Orthogonal Geometry
dc.typetext

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