Non-binary Unitary Error Bases and Quantum Codes

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dc.creatorKnill, E.
dc.date1996-08-29
dc.date1996-10-08
dc.date.accessioned2026-07-07T09:08:56Z
dc.date.available2026-07-07T09:08:56Z
dc.descriptionError operator bases for systems of any dimension are defined and natural generalizations of the bit/sign flip error basis for qubits are given. These bases allow generalizing the construction of quantum codes based on eigenspaces of Abelian groups. As a consequence, quantum codes can be constructed from linear codes over $\ints_n$ for any $n$. The generalization of the punctured code construction leads to many codes which permit transversal (i.e. fault tolerant) implementations of certain operations compatible with the error basis.
dc.description10 pages, preliminary report
dc.identifierhttps://arxiv.org/abs/quant-ph/9608048
dc.identifierhttp://arxiv.org/abs/quant-ph/9608048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150902
dc.subjectQuantum Physics
dc.titleNon-binary Unitary Error Bases and Quantum Codes
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