Nonstabilizer Quantum Codes from Abelian Subgroups of the Error Group

Simple item page
dc.creatorArvind, V.
dc.creatorKurur, Piyush P
dc.creatorParthasarathy, K. R.
dc.date2002-10-12
dc.date.accessioned2026-07-07T06:05:14Z
dc.date.available2026-07-07T06:05:14Z
dc.descriptionThis paper is motivated by the computer-generated nonadditive ((5,6,2)) code described in an article by Rains, Hardin, Shor and Sloane. We describe a theory of non-stabilizer codes of which the nonadditive code of Rains et al is an example. Furthermore, we give a general strategy of constructing good nonstabilizer codes from good stabilizer codes and give some explicit constructions and asymptotically good nonstabilizer codes. In fact, we explicitly construct a family of distance 2 non-stabilizer codes over all finite fields of which the ((5,6,2)) is an special example. More interestingly, using our theory, we are also able to explicitly construct examples of non-stablizer quantum codes of distance 3. Like in the case of stabilizer codes, we can design fairly efficient encoding and decoding procedures.
dc.description29 pages, latex file with 6 figures as pstex and pstex_t files
dc.identifierhttps://arxiv.org/abs/quant-ph/0210097
dc.identifierhttp://arxiv.org/abs/quant-ph/0210097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90571
dc.subjectQuantum Physics
dc.titleNonstabilizer Quantum Codes from Abelian Subgroups of the Error Group
dc.typetext

Files

Collections

arXiv