Quantum Error Correction via Codes over GF(4)

dc.creatorCalderbank, A. R.
dc.creatorRains, E. M
dc.creatorShor, P. W.
dc.creatorSloane, N. J. A.
dc.date1996-08-06
dc.date1997-09-10
dc.date.accessioned2026-07-07T09:05:10Z
dc.date.available2026-07-07T09:05:10Z
dc.descriptionThe problem of finding quantum error-correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits.
dc.descriptionLatex, 46 pages. To appear in IEEE Transactions on Information Theory. Replaced Sept. 24, 1996, to correct a number of minor errors. Replaced Sept. 10, 1997. The second section has been completely rewritten, and should hopefully be much clearer. We have also added a new section discussing the developments of the past year. Finally, we again corrected a number of minor errors
dc.identifierhttps://arxiv.org/abs/quant-ph/9608006
dc.identifierhttp://arxiv.org/abs/quant-ph/9608006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149626
dc.subjectQuantum Physics
dc.titleQuantum Error Correction via Codes over GF(4)
dc.typetext

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