Projective plane and planar quantum codes

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dc.creatorFreedman, Michael H.
dc.creatorMeyer, David A.
dc.date1998-10-18
dc.date.accessioned2026-07-07T06:15:44Z
dc.date.available2026-07-07T06:15:44Z
dc.descriptionCellulations of the projective plane RP^2 define single qubit topological quantum error correcting codes since there is a unique essential cycle in H_1(RP^2;Z_2). We construct three of the smallest such codes, show they are inequivalent, and identify one of them as Shor's original 9 qubit repetition code. We observe that Shor's code can be constructed in a planar domain and generalize to planar constructions of higher genus codes for multiple qubits.
dc.description7 pages, plain TeX, 5 PostScript figures included with epsf.tex (ignore the under/overfull \vbox error messages)
dc.identifierhttps://arxiv.org/abs/quant-ph/9810055
dc.identifierhttp://arxiv.org/abs/quant-ph/9810055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93850
dc.subjectQuantum Physics
dc.titleProjective plane and planar quantum codes
dc.typetext

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